{"id":2797,"date":"2016-09-27T16:20:18","date_gmt":"2016-09-27T09:20:18","guid":{"rendered":"http:\/\/www.giasuquocte.edu.vn\/maths-geometry\/"},"modified":"2016-09-27T16:20:18","modified_gmt":"2016-09-27T09:20:18","slug":"maths-geometry","status":"publish","type":"post","link":"https:\/\/giasuquocte.edu.vn\/en\/maths-geometry\/","title":{"rendered":"Maths &#8211; Geometry"},"content":{"rendered":"<div id=\"watu_quiz\" class=\"quiz-area single-page-quiz\">\n<form action=\"\" method=\"post\" class=\"quiz-form \" id=\"quiz-13\" >\n<div class='watu-question' id='question-1'><div class='question-content'><p><span class='watu_num'>1. <\/span>Find<em>x<\/em>\u00a0to the\u00a0<em>nearest tenth<\/em>.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-2809 alignleft\" src=\"http:\/\/www.giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/003-016.jpg\" alt=\"003-016\" width=\"126\" height=\"120\" srcset=\"https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/003-016.jpg 816w, https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/003-016-300x286.jpg 300w\" sizes=\"auto, (max-width: 126px) 100vw, 126px\" \/><\/p>\n<\/div><input type='hidden' name='question_id[]' value='224' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1073' \/><div class='watu-question-choice'><input type='radio' name='answer-224[]' id='answer-id-1073' class='answer answer-1  answerof-224' value='1073' \/>&nbsp;<label for='answer-id-1073' id='answer-label-1073' class=' answer label-1'><span class='answer'>15.0<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1071' \/><div class='watu-question-choice'><input type='radio' name='answer-224[]' id='answer-id-1071' class='answer answer-1  answerof-224' value='1071' \/>&nbsp;<label for='answer-id-1071' id='answer-label-1071' class=' answer label-1'><span class='answer'>8.0<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1070' \/><div class='watu-question-choice'><input type='radio' name='answer-224[]' id='answer-id-1070' class='answer answer-1  answerof-224' value='1070' \/>&nbsp;<label for='answer-id-1070' id='answer-label-1070' class=' answer label-1'><span class='answer'>6.9<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1072' \/><div class='watu-question-choice'><input type='radio' name='answer-224[]' id='answer-id-1072' class='answer answer-1  answerof-224' value='1072' \/>&nbsp;<label for='answer-id-1072' id='answer-label-1072' class=' answer label-1'><span class='answer'>13.9<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType1' value='radio' class=''><\/div><div class='watu-question' id='question-2'><div class='question-content'><p><span class='watu_num'>2. <\/span>Two sides of an isosceles triangle measure 3 and 7.\u00a0 Which of the following could be the measure of the third side?<\/p>\n<\/div><input type='hidden' name='question_id[]' value='212' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1019' \/><div class='watu-question-choice'><input type='radio' name='answer-212[]' id='answer-id-1019' class='answer answer-2  answerof-212' value='1019' \/>&nbsp;<label for='answer-id-1019' id='answer-label-1019' class=' answer label-2'><span class='answer'>7<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1020' \/><div class='watu-question-choice'><input type='radio' name='answer-212[]' id='answer-id-1020' class='answer answer-2  answerof-212' value='1020' \/>&nbsp;<label for='answer-id-1020' id='answer-label-1020' class=' answer label-2'><span class='answer'>5<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1018' \/><div class='watu-question-choice'><input type='radio' name='answer-212[]' id='answer-id-1018' class='answer answer-2  answerof-212' value='1018' \/>&nbsp;<label for='answer-id-1018' id='answer-label-1018' class=' answer label-2'><span class='answer'>9<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1021' \/><div class='watu-question-choice'><input type='radio' name='answer-212[]' id='answer-id-1021' class='answer answer-2  answerof-212' value='1021' \/>&nbsp;<label for='answer-id-1021' id='answer-label-1021' class=' answer label-2'><span class='answer'>3<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType2' value='radio' class=''><\/div><div class='watu-question' id='question-3'><div class='question-content'><p><span class='watu_num'>3. <\/span>The vertex angle of an isosceles triangle measures eight times the measure of a base angle.\u00a0 Find the measure of a base angle.<\/p>\n<\/div><input type='hidden' name='question_id[]' value='217' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1039' \/><div class='watu-question-choice'><input type='radio' name='answer-217[]' id='answer-id-1039' class='answer answer-3  answerof-217' value='1039' \/>&nbsp;<label for='answer-id-1039' id='answer-label-1039' class=' answer label-3'><span class='answer'>24\u00b0<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1041' \/><div class='watu-question-choice'><input type='radio' name='answer-217[]' id='answer-id-1041' class='answer answer-3  answerof-217' value='1041' \/>&nbsp;<label for='answer-id-1041' id='answer-label-1041' class=' answer label-3'><span class='answer'>43\u00b0<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1040' \/><div class='watu-question-choice'><input type='radio' name='answer-217[]' id='answer-id-1040' class='answer answer-3  answerof-217' value='1040' \/>&nbsp;<label for='answer-id-1040' id='answer-label-1040' class=' answer label-3'><span class='answer'>36\u00b0<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1038' \/><div class='watu-question-choice'><input type='radio' name='answer-217[]' id='answer-id-1038' class='answer answer-3  answerof-217' value='1038' \/>&nbsp;<label for='answer-id-1038' id='answer-label-1038' class=' answer label-3'><span class='answer'>18\u00b0<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType3' value='radio' class=''><\/div><div class='watu-question' id='question-4'><div class='question-content'><p><span class='watu_num'>4. <\/span>The midpoints of the sides of triangle<em>ABC<\/em>\u00a0are labeled\u00a0<em>D, E<\/em>\u00a0and\u00a0<em>F<\/em>.\u00a0 If the perimeter of triangle<em>DEF<\/em>\u00a0is 24, find the perimeter of triangle\u00a0<em>ABC<\/em>.<\/p>\n<\/div><input type='hidden' name='question_id[]' value='215' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1031' \/><div class='watu-question-choice'><input type='radio' name='answer-215[]' id='answer-id-1031' class='answer answer-4  answerof-215' value='1031' \/>&nbsp;<label for='answer-id-1031' id='answer-label-1031' class=' answer label-4'><span class='answer'>72<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1033' \/><div class='watu-question-choice'><input type='radio' name='answer-215[]' id='answer-id-1033' class='answer answer-4  answerof-215' value='1033' \/>&nbsp;<label for='answer-id-1033' id='answer-label-1033' class=' answer label-4'><span class='answer'>120<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1030' \/><div class='watu-question-choice'><input type='radio' name='answer-215[]' id='answer-id-1030' class='answer answer-4  answerof-215' value='1030' \/>&nbsp;<label for='answer-id-1030' id='answer-label-1030' class=' answer label-4'><span class='answer'>48<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1032' \/><div class='watu-question-choice'><input type='radio' name='answer-215[]' id='answer-id-1032' class='answer answer-4  answerof-215' value='1032' \/>&nbsp;<label for='answer-id-1032' id='answer-label-1032' class=' answer label-4'><span class='answer'>96<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType4' value='radio' class=''><\/div><div class='watu-question' id='question-5'><div class='question-content'><p><span class='watu_num'>5. <\/span>In triangle\u00a0<em>ABC, m&lt;A<\/em>\u00a0= 60 and\u00a0<em>m&lt;B\u00a0<\/em>= 40.\u00a0 Which side of triangle\u00a0<em>ABC<\/em>\u00a0is the longest?<\/p>\n<\/div><input type='hidden' name='question_id[]' value='220' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1055' \/><div class='watu-question-choice'><input type='radio' name='answer-220[]' id='answer-id-1055' class='answer answer-5  answerof-220' value='1055' \/>&nbsp;<label for='answer-id-1055' id='answer-label-1055' class=' answer label-5'><span class='answer'>___<br \/>\nAB<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1057' \/><div class='watu-question-choice'><input type='radio' name='answer-220[]' id='answer-id-1057' class='answer answer-5  answerof-220' value='1057' \/>&nbsp;<label for='answer-id-1057' id='answer-label-1057' class=' answer label-5'><span class='answer'>___    ___<br \/>\nBC \u2245 AB<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1056' \/><div class='watu-question-choice'><input type='radio' name='answer-220[]' id='answer-id-1056' class='answer answer-5  answerof-220' value='1056' \/>&nbsp;<label for='answer-id-1056' id='answer-label-1056' class=' answer label-5'><span class='answer'>___<br \/>\nBC<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1054' \/><div class='watu-question-choice'><input type='radio' name='answer-220[]' id='answer-id-1054' class='answer answer-5  answerof-220' value='1054' \/>&nbsp;<label for='answer-id-1054' id='answer-label-1054' class=' answer label-5'><span class='answer'>___<br \/>\nAC<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType5' value='radio' class=''><\/div><div class='watu-question' id='question-6'><div class='question-content'><p><span class='watu_num'>6. <\/span>In triangle\u00a0<em>ABC<\/em>,\u00a0<em>&lt;A<\/em>\u00a0is obtuse.\u00a0 Which statement is true about the sum of the measures of\u00a0<em>&lt;B<\/em>and\u00a0<em>&lt;C<\/em>?<\/p>\n<\/div><input type='hidden' name='question_id[]' value='225' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1077' \/><div class='watu-question-choice'><input type='radio' name='answer-225[]' id='answer-id-1077' class='answer answer-6  answerof-225' value='1077' \/>&nbsp;<label for='answer-id-1077' id='answer-label-1077' class=' answer label-6'><span class='answer'>m<B + m<C  =  180<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1074' \/><div class='watu-question-choice'><input type='radio' name='answer-225[]' id='answer-id-1074' class='answer answer-6  answerof-225' value='1074' \/>&nbsp;<label for='answer-id-1074' id='answer-label-1074' class=' answer label-6'><span class='answer'>m<B + m<C  =  90<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1076' \/><div class='watu-question-choice'><input type='radio' name='answer-225[]' id='answer-id-1076' class='answer answer-6  answerof-225' value='1076' \/>&nbsp;<label for='answer-id-1076' id='answer-label-1076' class=' answer label-6'><span class='answer'>m<B + m<C  <   90<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1075' \/><div class='watu-question-choice'><input type='radio' name='answer-225[]' id='answer-id-1075' class='answer answer-6  answerof-225' value='1075' \/>&nbsp;<label for='answer-id-1075' id='answer-label-1075' class=' answer label-6'><span class='answer'>m<B + m<C  >  90<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType6' value='radio' class=''><\/div><div class='watu-question' id='question-7'><div class='question-content'><p><span class='watu_num'>7. <\/span>In the diagram at the right,<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-2803 alignleft\" src=\"http:\/\/www.giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/001-004.jpg\" alt=\"001-004\" width=\"116\" height=\"20\" srcset=\"https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/001-004.jpg 862w, https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/001-004-300x52.jpg 300w, https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/001-004-840x149.jpg 840w\" sizes=\"auto, (max-width: 116px) 100vw, 116px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>If the<em>m&lt;ACD\u00a0<\/em>= 48, find the\u00a0<em>m&lt;B<\/em>.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-2804 alignleft\" src=\"http:\/\/www.giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/001-006-1024x608.jpg\" alt=\"001-006\" width=\"201\" height=\"120\" srcset=\"https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/001-006-1024x608.jpg 1024w, https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/001-006-300x178.jpg 300w, https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/001-006.jpg 1072w\" sizes=\"auto, (max-width: 201px) 100vw, 201px\" \/><\/p>\n<\/div><input type='hidden' name='question_id[]' value='213' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1022' \/><div class='watu-question-choice'><input type='radio' name='answer-213[]' id='answer-id-1022' class='answer answer-7  answerof-213' value='1022' \/>&nbsp;<label for='answer-id-1022' id='answer-label-1022' class=' answer label-7'><span class='answer'>24\u00b0<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1025' \/><div class='watu-question-choice'><input type='radio' name='answer-213[]' id='answer-id-1025' class='answer answer-7  answerof-213' value='1025' \/>&nbsp;<label for='answer-id-1025' id='answer-label-1025' class=' answer label-7'><span class='answer'>66\u00b0<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1023' \/><div class='watu-question-choice'><input type='radio' name='answer-213[]' id='answer-id-1023' class='answer answer-7  answerof-213' value='1023' \/>&nbsp;<label for='answer-id-1023' id='answer-label-1023' class=' answer label-7'><span class='answer'>33\u00b0<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1024' \/><div class='watu-question-choice'><input type='radio' name='answer-213[]' id='answer-id-1024' class='answer answer-7  answerof-213' value='1024' \/>&nbsp;<label for='answer-id-1024' id='answer-label-1024' class=' answer label-7'><span class='answer'>48\u00b0<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType7' value='radio' class=''><\/div><div class='watu-question' id='question-8'><div class='question-content'><p><span class='watu_num'>8. <\/span>The sides of a triangle are 5, 6 and 10.\u00a0 Find the length of the longest side of a similar triangle whose shortest side is 15.<\/p>\n<\/div><input type='hidden' name='question_id[]' value='218' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1043' \/><div class='watu-question-choice'><input type='radio' name='answer-218[]' id='answer-id-1043' class='answer answer-8  answerof-218' value='1043' \/>&nbsp;<label for='answer-id-1043' id='answer-label-1043' class=' answer label-8'><span class='answer'>15<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1045' \/><div class='watu-question-choice'><input type='radio' name='answer-218[]' id='answer-id-1045' class='answer answer-8  answerof-218' value='1045' \/>&nbsp;<label for='answer-id-1045' id='answer-label-1045' class=' answer label-8'><span class='answer'>30<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1044' \/><div class='watu-question-choice'><input type='radio' name='answer-218[]' id='answer-id-1044' class='answer answer-8  answerof-218' value='1044' \/>&nbsp;<label for='answer-id-1044' id='answer-label-1044' class=' answer label-8'><span class='answer'>18<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1042' \/><div class='watu-question-choice'><input type='radio' name='answer-218[]' id='answer-id-1042' class='answer answer-8  answerof-218' value='1042' \/>&nbsp;<label for='answer-id-1042' id='answer-label-1042' class=' answer label-8'><span class='answer'>10<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType8' value='radio' class=''><\/div><div class='watu-question' id='question-9'><div class='question-content'><p><span class='watu_num'>9. <\/span>Which of the following lengths are the sides of a right triangle?<\/p>\n<\/div><input type='hidden' name='question_id[]' value='222' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1064' \/><div class='watu-question-choice'><input type='radio' name='answer-222[]' id='answer-id-1064' class='answer answer-9  answerof-222' value='1064' \/>&nbsp;<label for='answer-id-1064' id='answer-label-1064' class=' answer label-9'><span class='answer'>3.1, 4.2, 4.8<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1062' \/><div class='watu-question-choice'><input type='radio' name='answer-222[]' id='answer-id-1062' class='answer answer-9  answerof-222' value='1062' \/>&nbsp;<label for='answer-id-1062' id='answer-label-1062' class=' answer label-9'><span class='answer'>2.4, 3.2, 4<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1065' \/><div class='watu-question-choice'><input type='radio' name='answer-222[]' id='answer-id-1065' class='answer answer-9  answerof-222' value='1065' \/>&nbsp;<label for='answer-id-1065' id='answer-label-1065' class=' answer label-9'><span class='answer'>All of the above.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1063' \/><div class='watu-question-choice'><input type='radio' name='answer-222[]' id='answer-id-1063' class='answer answer-9  answerof-222' value='1063' \/>&nbsp;<label for='answer-id-1063' id='answer-label-1063' class=' answer label-9'><span class='answer'>4.3, 4.4, 4.5<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType9' value='radio' class=''><\/div><div class='watu-question' id='question-10'><div class='question-content'><p><span class='watu_num'>10. <\/span>In the diagram at the right, the angles are represented as shown.\u00a0 Find the<em>m&lt;DBC.<\/em><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-2806 alignleft\" src=\"http:\/\/www.giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/002-008-1024x624.jpg\" alt=\"002-008\" width=\"238\" height=\"145\" srcset=\"https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/002-008-1024x624.jpg 1024w, https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/002-008-300x183.jpg 300w, https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/002-008.jpg 1303w\" sizes=\"auto, (max-width: 238px) 100vw, 238px\" \/><\/p>\n<\/div><input type='hidden' name='question_id[]' value='216' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1034' \/><div class='watu-question-choice'><input type='radio' name='answer-216[]' id='answer-id-1034' class='answer answer-10  answerof-216' value='1034' \/>&nbsp;<label for='answer-id-1034' id='answer-label-1034' class=' answer label-10'><span class='answer'>25\u00b0<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1037' \/><div class='watu-question-choice'><input type='radio' name='answer-216[]' id='answer-id-1037' class='answer answer-10  answerof-216' value='1037' \/>&nbsp;<label for='answer-id-1037' id='answer-label-1037' class=' answer label-10'><span class='answer'>158\u00b0<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1035' \/><div class='watu-question-choice'><input type='radio' name='answer-216[]' id='answer-id-1035' class='answer answer-10  answerof-216' value='1035' \/>&nbsp;<label for='answer-id-1035' id='answer-label-1035' class=' answer label-10'><span class='answer'>125\u00b0<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1036' \/><div class='watu-question-choice'><input type='radio' name='answer-216[]' id='answer-id-1036' class='answer answer-10  answerof-216' value='1036' \/>&nbsp;<label for='answer-id-1036' id='answer-label-1036' class=' answer label-10'><span class='answer'>155\u00b0<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType10' value='radio' class=''><\/div><div class='watu-question' id='question-11'><div class='question-content'><p><span class='watu_num'>11. <\/span><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-2800 alignleft\" src=\"http:\/\/www.giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/001-002-1024x78.jpg\" alt=\"001-002\" width=\"263\" height=\"20\" srcset=\"https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/001-002-1024x78.jpg 1024w, https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/001-002-300x23.jpg 300w\" sizes=\"auto, (max-width: 263px) 100vw, 263px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>Which of the following methods can be used to\u00a0prove\u00a0\u0394<em>ABC<\/em> \u2245\u00a0\u0394<em>ADC<\/em> ?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-2802 alignleft\" src=\"http:\/\/www.giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/001-005.jpg\" alt=\"001-005\" width=\"200\" height=\"180\" srcset=\"https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/001-005.jpg 949w, https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/001-005-300x271.jpg 300w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/p>\n<\/div><input type='hidden' name='question_id[]' value='210' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1094' \/><div class='watu-question-choice'><input type='radio' name='answer-210[]' id='answer-id-1094' class='answer answer-11  answerof-210' value='1094' \/>&nbsp;<label for='answer-id-1094' id='answer-label-1094' class=' answer label-11'><span class='answer'>Side-Angle-Side (SAS)<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1096' \/><div class='watu-question-choice'><input type='radio' name='answer-210[]' id='answer-id-1096' class='answer answer-11  answerof-210' value='1096' \/>&nbsp;<label for='answer-id-1096' id='answer-label-1096' class=' answer label-11'><span class='answer'>Angle-Angle-Side (AAS)<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1097' \/><div class='watu-question-choice'><input type='radio' name='answer-210[]' id='answer-id-1097' class='answer answer-11  answerof-210' value='1097' \/>&nbsp;<label for='answer-id-1097' id='answer-label-1097' class=' answer label-11'><span class='answer'>There is insufficient information to determine if the triangles are congruent.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1095' \/><div class='watu-question-choice'><input type='radio' name='answer-210[]' id='answer-id-1095' class='answer answer-11  answerof-210' value='1095' \/>&nbsp;<label for='answer-id-1095' id='answer-label-1095' class=' answer label-11'><span class='answer'>Side-Angle-Side (SAS)<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType11' value='radio' class=''><\/div><div class='watu-question' id='question-12'><div class='question-content'><p><span class='watu_num'>12. <\/span>In the accompanying diagram, triangle\u00a0<em>ABC\u00a0<\/em>is similar to triangle\u00a0<em>DEF, AC\u00a0<\/em>= 6,\u00a0<em>AB\u00a0<\/em>=\u00a0<em>BC\u00a0<\/em>= 12, and\u00a0<em>DF\u00a0<\/em>= 8. Find the perimeter of triangle<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-2813 alignleft\" src=\"http:\/\/www.giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/004-019.jpg\" alt=\"004-019\" width=\"141\" height=\"135\" srcset=\"https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/004-019.jpg 878w, https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/004-019-300x287.jpg 300w\" sizes=\"auto, (max-width: 141px) 100vw, 141px\" \/><\/p>\n<p>&nbsp;<\/p>\n<\/div><input type='hidden' name='question_id[]' value='227' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1090' \/><div class='watu-question-choice'><input type='radio' name='answer-227[]' id='answer-id-1090' class='answer answer-12  answerof-227' value='1090' \/>&nbsp;<label for='answer-id-1090' id='answer-label-1090' class=' answer label-12'><span class='answer'>32<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1091' \/><div class='watu-question-choice'><input type='radio' name='answer-227[]' id='answer-id-1091' class='answer answer-12  answerof-227' value='1091' \/>&nbsp;<label for='answer-id-1091' id='answer-label-1091' class=' answer label-12'><span class='answer'>36<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1092' \/><div class='watu-question-choice'><input type='radio' name='answer-227[]' id='answer-id-1092' class='answer answer-12  answerof-227' value='1092' \/>&nbsp;<label for='answer-id-1092' id='answer-label-1092' class=' answer label-12'><span class='answer'>40<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1093' \/><div class='watu-question-choice'><input type='radio' name='answer-227[]' id='answer-id-1093' class='answer answer-12  answerof-227' value='1093' \/>&nbsp;<label for='answer-id-1093' id='answer-label-1093' class=' answer label-12'><span class='answer'>60<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType12' value='radio' class=''><\/div><div class='watu-question' id='question-13'><div class='question-content'><p><span class='watu_num'>13. <\/span>At a certain time of the day, the shadow of a 5&#8242; boy is 8&#8242; long.\u00a0 The shadow of a nearby flagpole at this same time is 28&#8242; long.\u00a0 How tall is the flagpole?<\/p>\n<\/div><input type='hidden' name='question_id[]' value='221' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1058' \/><div class='watu-question-choice'><input type='radio' name='answer-221[]' id='answer-id-1058' class='answer answer-13  answerof-221' value='1058' \/>&nbsp;<label for='answer-id-1058' id='answer-label-1058' class=' answer label-13'><span class='answer'>8.5&#8242;<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1059' \/><div class='watu-question-choice'><input type='radio' name='answer-221[]' id='answer-id-1059' class='answer answer-13  answerof-221' value='1059' \/>&nbsp;<label for='answer-id-1059' id='answer-label-1059' class=' answer label-13'><span class='answer'>16&#8242;<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1060' \/><div class='watu-question-choice'><input type='radio' name='answer-221[]' id='answer-id-1060' class='answer answer-13  answerof-221' value='1060' \/>&nbsp;<label for='answer-id-1060' id='answer-label-1060' class=' answer label-13'><span class='answer'>17.5&#8242;<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1061' \/><div class='watu-question-choice'><input type='radio' name='answer-221[]' id='answer-id-1061' class='answer answer-13  answerof-221' value='1061' \/>&nbsp;<label for='answer-id-1061' id='answer-label-1061' class=' answer label-13'><span class='answer'>20<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType13' value='radio' class=''><\/div><div class='watu-question' id='question-14'><div class='question-content'><p><span class='watu_num'>14. <\/span>&nbsp;<\/p>\n<p>\u0394<em>ABC<\/em>\u00a0\u2245\u00a0\u0394<em>A&#8217; B&#8217; C&#8217;<\/em>, m\u00a0\u2220\u00a0<em>C<\/em> = 3x &#8211; 40 and m\u00a0\u2220\u00a0<em>C&#8217;<\/em> = 2x &#8211; 10. Find m\u00a0\u2220\u00a0<em>C<\/em>.<\/p>\n<p>&nbsp;<\/p>\n<\/div><input type='hidden' name='question_id[]' value='209' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1098' \/><div class='watu-question-choice'><input type='radio' name='answer-209[]' id='answer-id-1098' class='answer answer-14  answerof-209' value='1098' \/>&nbsp;<label for='answer-id-1098' id='answer-label-1098' class=' answer label-14'><span class='answer'>15<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1099' \/><div class='watu-question-choice'><input type='radio' name='answer-209[]' id='answer-id-1099' class='answer answer-14  answerof-209' value='1099' \/>&nbsp;<label for='answer-id-1099' id='answer-label-1099' class=' answer label-14'><span class='answer'>30<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1101' \/><div class='watu-question-choice'><input type='radio' name='answer-209[]' id='answer-id-1101' class='answer answer-14  answerof-209' value='1101' \/>&nbsp;<label for='answer-id-1101' id='answer-label-1101' class=' answer label-14'><span class='answer'>90<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1100' \/><div class='watu-question-choice'><input type='radio' name='answer-209[]' id='answer-id-1100' class='answer answer-14  answerof-209' value='1100' \/>&nbsp;<label for='answer-id-1100' id='answer-label-1100' class=' answer label-14'><span class='answer'>50<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType14' value='radio' class=''><\/div><div class='watu-question' id='question-15'><div class='question-content'><p><span class='watu_num'>15. <\/span>A frisbee lands on the top of a 15&#8242; concrete wall.\u00a0 To retrieve the frisbee, a ladder must be placed such that the foot of the ladder is 6 feet from the base of the wall and the top of the ladder rests on the top of the wall.\u00a0 Which choice is the shortest length ladder that can be used?<\/p>\n<\/div><input type='hidden' name='question_id[]' value='219' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1046' \/><div class='watu-question-choice'><input type='radio' name='answer-219[]' id='answer-id-1046' class='answer answer-15  answerof-219' value='1046' \/>&nbsp;<label for='answer-id-1046' id='answer-label-1046' class=' answer label-15'><span class='answer'>15&#8242;<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1049' \/><div class='watu-question-choice'><input type='radio' name='answer-219[]' id='answer-id-1049' class='answer answer-15  answerof-219' value='1049' \/>&nbsp;<label for='answer-id-1049' id='answer-label-1049' class=' answer label-15'><span class='answer'>18&#8242;<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1047' \/><div class='watu-question-choice'><input type='radio' name='answer-219[]' id='answer-id-1047' class='answer answer-15  answerof-219' value='1047' \/>&nbsp;<label for='answer-id-1047' id='answer-label-1047' class=' answer label-15'><span class='answer'>16&#8242;<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1048' \/><div class='watu-question-choice'><input type='radio' name='answer-219[]' id='answer-id-1048' class='answer answer-15  answerof-219' value='1048' \/>&nbsp;<label for='answer-id-1048' id='answer-label-1048' class=' answer label-15'><span class='answer'>17&#8242;<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType15' value='radio' class=''><\/div><div class='watu-question' id='question-16'><div class='question-content'><p><span class='watu_num'>16. <\/span>The legs of a right triangle measure 8 and 15.\u00a0 If a leg and hypotenuse of another right triangle are 8 and 17 respectively, how many right triangles are congruent?<\/p>\n<\/div><input type='hidden' name='question_id[]' value='226' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1079' \/><div class='watu-question-choice'><input type='radio' name='answer-226[]' id='answer-id-1079' class='answer answer-16  answerof-226' value='1079' \/>&nbsp;<label for='answer-id-1079' id='answer-label-1079' class=' answer label-16'><span class='answer'>2<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1081' \/><div class='watu-question-choice'><input type='radio' name='answer-226[]' id='answer-id-1081' class='answer answer-16  answerof-226' value='1081' \/>&nbsp;<label for='answer-id-1081' id='answer-label-1081' class=' answer label-16'><span class='answer'>4<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1078' \/><div class='watu-question-choice'><input type='radio' name='answer-226[]' id='answer-id-1078' class='answer answer-16  answerof-226' value='1078' \/>&nbsp;<label for='answer-id-1078' id='answer-label-1078' class=' answer label-16'><span class='answer'>1<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1080' \/><div class='watu-question-choice'><input type='radio' name='answer-226[]' id='answer-id-1080' class='answer answer-16  answerof-226' value='1080' \/>&nbsp;<label for='answer-id-1080' id='answer-label-1080' class=' answer label-16'><span class='answer'>3<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType16' value='radio' class=''><\/div><div class='watu-question' id='question-17'><div class='question-content'><p><span class='watu_num'>17. <\/span><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-2807 alignleft\" src=\"http:\/\/www.giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/003-013-1024x98.jpg\" alt=\"003-013\" width=\"209\" height=\"20\" srcset=\"https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/003-013-1024x98.jpg 1024w, https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/003-013-300x29.jpg 300w, https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/003-013.jpg 1672w\" sizes=\"auto, (max-width: 209px) 100vw, 209px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>Which of the following methods can be used to prove that\u00a0\u0394<em>ABC<\/em>\u00a0\u2245\u00a0\u0394<i>DEC<\/i> ?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-2808 alignleft\" src=\"http:\/\/www.giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/003-015.jpg\" alt=\"003-015\" width=\"149\" height=\"160\" srcset=\"https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/003-015.jpg 754w, https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/003-015-281x300.jpg 281w\" sizes=\"auto, (max-width: 149px) 100vw, 149px\" \/><\/p>\n<p>&nbsp;<\/p>\n<\/div><input type='hidden' name='question_id[]' value='223' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1068' \/><div class='watu-question-choice'><input type='radio' name='answer-223[]' id='answer-id-1068' class='answer answer-17  answerof-223' value='1068' \/>&nbsp;<label for='answer-id-1068' id='answer-label-1068' class=' answer label-17'><span class='answer'>Side-Side-Side (SSS)<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1069' \/><div class='watu-question-choice'><input type='radio' name='answer-223[]' id='answer-id-1069' class='answer answer-17  answerof-223' value='1069' \/>&nbsp;<label for='answer-id-1069' id='answer-label-1069' class=' answer label-17'><span class='answer'>There is insufficient information to determine if the triangles are congruent.<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1067' \/><div class='watu-question-choice'><input type='radio' name='answer-223[]' id='answer-id-1067' class='answer answer-17  answerof-223' value='1067' \/>&nbsp;<label for='answer-id-1067' id='answer-label-1067' class=' answer label-17'><span class='answer'>Angle-Side-Angle (ASA)<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1066' \/><div class='watu-question-choice'><input type='radio' name='answer-223[]' id='answer-id-1066' class='answer answer-17  answerof-223' value='1066' \/>&nbsp;<label for='answer-id-1066' id='answer-label-1066' class=' answer label-17'><span class='answer'>Side-Angle-Side (SAS)<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType17' value='radio' class=''><\/div><div class='watu-question' id='question-18'><div class='question-content'><p><span class='watu_num'>18. <\/span>In triangle<em>ABC, m&lt;A\u00a0<\/em>= 48\u00b0, and\u00a0<em>m&lt;C\u00a0<\/em>= 24\u00b0.\u00a0\u00a0 What type of triangle is triangle\u00a0<em>ABC<\/em>\u00a0?<\/p>\n<\/div><input type='hidden' name='question_id[]' value='211' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1015' \/><div class='watu-question-choice'><input type='radio' name='answer-211[]' id='answer-id-1015' class='answer answer-18  answerof-211' value='1015' \/>&nbsp;<label for='answer-id-1015' id='answer-label-1015' class=' answer label-18'><span class='answer'>Right<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1014' \/><div class='watu-question-choice'><input type='radio' name='answer-211[]' id='answer-id-1014' class='answer answer-18  answerof-211' value='1014' \/>&nbsp;<label for='answer-id-1014' id='answer-label-1014' class=' answer label-18'><span class='answer'>Acute<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1017' \/><div class='watu-question-choice'><input type='radio' name='answer-211[]' id='answer-id-1017' class='answer answer-18  answerof-211' value='1017' \/>&nbsp;<label for='answer-id-1017' id='answer-label-1017' class=' answer label-18'><span class='answer'>Isosceles<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1016' \/><div class='watu-question-choice'><input type='radio' name='answer-211[]' id='answer-id-1016' class='answer answer-18  answerof-211' value='1016' \/>&nbsp;<label for='answer-id-1016' id='answer-label-1016' class=' answer label-18'><span class='answer'>Obtuse<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType18' value='radio' class=''><\/div><div class='watu-question' id='question-19'><div class='question-content'><p><span class='watu_num'>19. <\/span>In the accompanying diagram,<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-2810 alignleft\" src=\"http:\/\/www.giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/004-017-1024x119.jpg\" alt=\"004-017\" width=\"172\" height=\"20\" srcset=\"https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/004-017-1024x119.jpg 1024w, https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/004-017-300x35.jpg 300w, https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/004-017.jpg 1372w\" sizes=\"auto, (max-width: 172px) 100vw, 172px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-2811 alignleft\" src=\"http:\/\/www.giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/004-018.jpg\" alt=\"004-018\" width=\"79\" height=\"20\" srcset=\"https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/004-018.jpg 590w, https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/004-018-300x76.jpg 300w\" sizes=\"auto, (max-width: 79px) 100vw, 79px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-2812 alignleft\" src=\"http:\/\/www.giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/004-020.jpg\" alt=\"004-020\" width=\"167\" height=\"130\" srcset=\"https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/004-020.jpg 991w, https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/004-020-300x234.jpg 300w\" sizes=\"auto, (max-width: 167px) 100vw, 167px\" \/><\/p>\n<p>&nbsp;<\/p>\n<\/div><input type='hidden' name='question_id[]' value='228' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1087' \/><div class='watu-question-choice'><input type='radio' name='answer-228[]' id='answer-id-1087' class='answer answer-19  answerof-228' value='1087' \/>&nbsp;<label for='answer-id-1087' id='answer-label-1087' class=' answer label-19'><span class='answer'>110<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1086' \/><div class='watu-question-choice'><input type='radio' name='answer-228[]' id='answer-id-1086' class='answer answer-19  answerof-228' value='1086' \/>&nbsp;<label for='answer-id-1086' id='answer-label-1086' class=' answer label-19'><span class='answer'>117<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1089' \/><div class='watu-question-choice'><input type='radio' name='answer-228[]' id='answer-id-1089' class='answer answer-19  answerof-228' value='1089' \/>&nbsp;<label for='answer-id-1089' id='answer-label-1089' class=' answer label-19'><span class='answer'>27<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1088' \/><div class='watu-question-choice'><input type='radio' name='answer-228[]' id='answer-id-1088' class='answer answer-19  answerof-228' value='1088' \/>&nbsp;<label for='answer-id-1088' id='answer-label-1088' class=' answer label-19'><span class='answer'>63<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType19' value='radio' class=''><\/div><div class='watu-question' id='question-20'><div class='question-content'><p><span class='watu_num'>20. <\/span>The diagram at the right shows a right triangle with representations for two angles.\u00a0 What is the value of\u00a0<em>x<\/em><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-2805 alignleft\" src=\"http:\/\/www.giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/002-007.jpg\" alt=\"002-007\" width=\"154\" height=\"130\" srcset=\"https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/002-007.jpg 867w, https:\/\/giasuquocte.edu.vn\/wp-content\/uploads\/2016\/09\/002-007-300x253.jpg 300w\" sizes=\"auto, (max-width: 154px) 100vw, 154px\" \/><\/p>\n<\/div><input type='hidden' name='question_id[]' value='214' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1029' \/><div class='watu-question-choice'><input type='radio' name='answer-214[]' id='answer-id-1029' class='answer answer-20  answerof-214' value='1029' \/>&nbsp;<label for='answer-id-1029' id='answer-label-1029' class=' answer label-20'><span class='answer'>30<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1028' \/><div class='watu-question-choice'><input type='radio' name='answer-214[]' id='answer-id-1028' class='answer answer-20  answerof-214' value='1028' \/>&nbsp;<label for='answer-id-1028' id='answer-label-1028' class=' answer label-20'><span class='answer'>24<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1026' \/><div class='watu-question-choice'><input type='radio' name='answer-214[]' id='answer-id-1026' class='answer answer-20  answerof-214' value='1026' \/>&nbsp;<label for='answer-id-1026' id='answer-label-1026' class=' answer label-20'><span class='answer'>15<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1027' \/><div class='watu-question-choice'><input type='radio' name='answer-214[]' id='answer-id-1027' class='answer answer-20  answerof-214' value='1027' 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