{"id":"cb_question_bank:e3c0454d-db7f-4b1a-be39-c12164fc3943","source_id":"cb_question_bank","source_item_id":"e3c0454d-db7f-4b1a-be39-c12164fc3943","external_id":"2b0e8838-4d1b-4eaf-9a92-439aa05ee874","ibn":null,"question_id":"42b4493b","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":"In a right triangle, the measure of one of the acute angles is 51 degree . What is the measure, in degrees, of the other acute angle?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">In a right triangle, the measure of one of the acute angles is <math alttext=\"51 degree\"><mrow><mn>51</mn></mrow><mo>°</mo></math>. What is the measure, in degrees, of the other acute angle?</p>","rationale_html":"<p style=\"text-align: left;\">Choice B is correct. The sum of the measures of the interior angles of a triangle is <math alttext=\"180\"><mn>180</mn>\n</math> degrees. Since the triangle is a right triangle, it has one angle that measures <math alttext=\"90\"><mn>90</mn>\n</math> degrees. Therefore, the sum of the measures, in degrees, of the remaining two angles is <math alttext=\"180 minus 90\"><mn>180</mn><mo>-</mo><mn>90</mn></math>, or <math alttext=\"90\"><mn>90</mn>\n</math>. It’s given that the measure of one of the acute angles in the triangle is <math alttext=\"51\"><mn>51</mn>\n</math> degrees. Therefore, the measure, in degrees, of the other acute angle is <math alttext=\"90 minus 51\"><mn>90</mn><mo>-</mo><mn>51</mn></math>, or <math alttext=\"39\"><mn>39</mn>\n</math>.</p>\n<p>Choice A is incorrect and may result from conceptual or calculation errors.</p>\n<p>Choice C is incorrect and may result from conceptual or calculation errors.</p>\n<p>Choice D is incorrect. This is the measure, in degrees, of the acute angle whose measure is given.</p>","correct_answer":["B"],"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=\"6\"><mn>6</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"39\"><mn>39</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"49\"><mn>49</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"51\"><mn>51</mn>\n</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}}