{"id":"cb_question_bank:edf301aa-8a95-4f6f-bc3b-7e60d86efeca","source_id":"cb_question_bank","source_item_id":"edf301aa-8a95-4f6f-bc3b-7e60d86efeca","external_id":null,"ibn":"14890-DC","question_id":"36200a38","program":"SAT","module":"math","domain_code":"S","domain":"Geometry and Trigonometry","skill_code":"S.B.","skill":"Lines, angles, and triangles","difficulty":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The figure presents a triangle with a horizontal base. The left and right sides of the triangle are both extended past the top vertex of the triangle. The bottom left angle is labeled 70 degrees, and the bottom right angle is labeled 50 degrees. The angle above the left side of the triangle and below the extension of the right side of the triangle is labeled x degrees. In the figure above, two sides of a triangle are extended. What is the value of x ?","stimulus":"","stimulus_html":null,"stem_html":"<p><img src=\"/api/assets/e83e2135a5d9838560c03f956b52d1f731472fb232102a035cbd7f0fbd6d9ef3\" alt=\"The figure presents a triangle with a horizontal base. The left and right sides of the triangle are both extended past the top vertex of the triangle. The bottom left angle is labeled 70 degrees, and the bottom right angle is labeled 50 degrees. The angle above the left side of the triangle and below the extension of the right side of the triangle is labeled x degrees.\" width=\"78\" height=\"82\"></p><p>In the figure above, two sides of a triangle are extended. What is the value of <span class=\"italic\">x</span> ?</p><p></p>\n","rationale_html":"<p>Choice B is correct. The sum of the interior angles of a triangle is 180°. The measures of the two interior angles of the given triangle are shown. Therefore, the measure of the third interior angle is 180° – 70° – 50° = 60°. The angles of measures <span class=\"italic\">x</span>° and 60° are supplementary, so their sum is 180°. Therefore, <span class=\"italic\">x</span> = 180 – 60 = 120.</p><p>Choice A is incorrect and may be the result of misinterpreting <span class=\"italic\">x</span>° as supplementary to 70°. Choice C is incorrect and may be the result of misinterpreting <span class=\"italic\">x</span>° as supplementary to 50°. Choice D is incorrect and may be the result of a calculation error.</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.639000+00:00","source_updated_at":"2023-08-02T20:25:59.639000+00:00","options":[{"label":"A","content_html":"<p>110</p>\n","ord":0},{"label":"B","content_html":"<p>120</p>\n","ord":1},{"label":"C","content_html":"<p>130</p>\n","ord":2},{"label":"D","content_html":"<p>140</p>\n","ord":3}],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}