{"id":"cb_question_bank:94ed12e3-a176-401a-8cf0-3a581702d099","source_id":"cb_question_bank","source_item_id":"94ed12e3-a176-401a-8cf0-3a581702d099","external_id":"6145108f-5273-4b08-afde-8e75072e2eef","ibn":null,"question_id":"f1747a6a","program":"SAT","module":"math","domain_code":"S","domain":"Geometry and Trigonometry","skill_code":"S.B.","skill":"Lines, angles, and triangles","difficulty":"E","score_band":3,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"In triangle upper A upper B upper C , the measure of angle upper B is 52 degree and the measure of angle upper C is 17 degree . What is the measure of angle upper A ?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">In triangle <math alttext=\"upper A upper B upper C\"><mrow>\n\t<mi>A</mi>\n\t<mi>B</mi>\n\t<mi>C</mi>\n</mrow>\n</math>, the measure of angle <math alttext=\"upper B\"><mi>B</mi>\n</math> is <math alttext=\"52 degree\"><mrow><mn>52</mn></mrow><mo>°</mo></math> and the measure of angle <math alttext=\"upper C\"><mi>C</mi>\n</math> is <math alttext=\"17 degree\"><mrow><mn>17</mn></mrow><mo>°</mo></math>. What is the measure of angle <math alttext=\"upper A\"><mi>A</mi>\n</math>?</p>","rationale_html":"<p>Choice D is correct. The sum of the angle measures of a triangle is <math alttext=\"180 degree\"><mn>180</mn><mo>°</mo></math>. Adding the measures of angles <math alttext=\"upper B\"><mi>B</mi>\n</math> and <math alttext=\"upper C\"><mi>C</mi>\n</math> gives <math alttext=\"52 plus 17 equals 69 degree\"><mn>52</mn><mo>+</mo><mn>17</mn><mo>=</mo><mn>69</mn><mo>°</mo></math>. Therefore, the measure of angle <math alttext=\"upper A\"><mi>A</mi>\n</math> is <math alttext=\"180 minus 69 equals 111 degree\"><mn>180</mn><mo>-</mo><mn>69</mn><mo>=</mo><mn>111</mn><mo>°</mo></math>.</p>\n<p>Choice A is incorrect and may result from subtracting the sum of the measures of angles <math alttext=\"upper B\"><mi>B</mi>\n</math> and <math alttext=\"upper C\"><mi>C</mi>\n</math> from <math alttext=\"90 degree\"><mn>90</mn><mo>°</mo></math>, instead of from <math alttext=\"180 degree\"><mn>180</mn><mo>°</mo></math>.</p>\n<p>Choice B is incorrect and may result from subtracting the measure of angle <math alttext=\"upper C\"><mi>C</mi>\n</math> from the measure of angle <math alttext=\"upper B\"><mi>B</mi>\n</math>.</p>\n<p>Choice C is incorrect and may result from adding the measures of angles <math alttext=\"upper B\"><mi>B</mi>\n</math> and <math alttext=\"upper C\"><mi>C</mi>\n</math> but not subtracting the result from <math alttext=\"180 degree\"><mn>180</mn><mo>°</mo></math>.</p>","correct_answer":["D"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.838000+00:00","source_updated_at":"2023-08-02T20:25:59.838000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"21 degree\"><mn>21</mn>\n<mo>°</mo></math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"35 degree\"><mn>35</mn>\n<mo>°</mo></math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"69 degree\"><mn>69</mn>\n<mo>°</mo></math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"111 degree\"><mn>111</mn>\n<mo>°</mo></math></p>","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}}