{"id":"cb_question_bank:895dd09d-383e-4e4f-82b1-4ff30d6e0297","source_id":"cb_question_bank","source_item_id":"895dd09d-383e-4e4f-82b1-4ff30d6e0297","external_id":null,"ibn":"029330-DC","question_id":"410bdbe6","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 the triangle above, a, equals 45 . What is the value of b ?","stimulus":"The figure presents a triangle. The bottom side is horizontal, the left side slants upward and slightly to the left, and the right side slants downward and to the right. The bottom left angle of the triangle measures 2 b degrees. The top angle of the triangle measures 31 degrees. The bottom right angle of the triangle measures a, degrees.","stimulus_html":"<div class=\"stimulus_reference \">\n        <div class=\"standalone_image \">\n          <img src=\"/api/assets/6b50010c929b31dbfbc66222f24d550369c3bc6996249ea88966f72f5cb6ef7b\" alt=\"The figure presents a triangle. The bottom side is horizontal, the left side slants upward and slightly to the left, and the right side slants downward and to the right. The bottom left angle of the triangle measures 2 b degrees. The top angle of the triangle measures 31 degrees. The bottom right angle of the triangle measures a, degrees. \" width=\"95\" height=\"95\"></div>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">In the triangle above, <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/0cbc9fa18aa0149aa287df4e76f70a0bd005f64d5ba0165850bab23ef10e0b13\" alt=\"a, equals 45\"></span></span>. What is the value of <span class=\"italic\">b </span>?</p>\n","rationale_html":"<p>Choice A is correct. The sum of the measures of the three interior angles of a triangle is 180°. Therefore, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9d406b7aac25937114fa95bb3b9cb9d11e00d8a9b50aaa32bfff6087e9d097fb\" alt=\"31 plus 2 b, plus a, equals 180\"></span>. Since it’s given that <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/0cbc9fa18aa0149aa287df4e76f70a0bd005f64d5ba0165850bab23ef10e0b13\" alt=\"a, equals 45\"></span>, it follows that <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/785a9900e4fccdd5270bf6e861a0b12b8aca8f7e2cf479f3f8e208c13d045571\" alt=\"31 plus 2 b, plus 45, equals 180\"></span>, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/6349ce2cf1b3fe1c8069d8826c3ef5722d6170615be4b9d118f47a4b3b1bb22f\" alt=\"2 b equals 104\"></span>. Dividing both sides of this equation by 2 yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/4aa4d6a4ec8a4f3c5a779d109d116b21b0295dd1b8b87a5603db336b77c490c5\" alt=\"b equals 52\"></span>.</p><p>Choice B is incorrect and may result from a calculation error. Choice C is incorrect. This is the value of <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/d4e6f4f4310b7ba4bb7ec20b843d9595b32fffd6eaf8fa1ede417b770b9b8837\" alt=\"a, plus 31 \"></span>. Choice D is incorrect. This is the value of <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/fc850d73bd6055f96e550a3ca773e17b8e302d2e7075abc0f85592a8c522ed0e\" alt=\"2 b\"></span>.</p><p></p>\n","correct_answer":["A"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.624000+00:00","source_updated_at":"2023-08-02T20:25:59.624000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">52</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">59</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">76</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">104</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}}