{"id":"cb_question_bank:6f8813f1-d617-407a-87b3-5e93df655257","source_id":"cb_question_bank","source_item_id":"6f8813f1-d617-407a-87b3-5e93df655257","external_id":null,"ibn":"028920-DC","question_id":"901e3285","program":"SAT","module":"math","domain_code":"S","domain":"Geometry and Trigonometry","skill_code":"S.B.","skill":"Lines, angles, and triangles","difficulty":"M","score_band":5,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"In triangle ABC , the measure of angle A is 50 degrees . If triangle ABC is isosceles, which of the following is NOT a possible measure of angle B ?","stimulus":"","stimulus_html":null,"stem_html":"

In triangle ABC, the measure of angle A is \"50. If triangle ABC is isosceles, which of the following is NOT a possible measure of angle B ?

\n","rationale_html":"

Choice D is correct. The sum of the three interior angles in a triangle is \"180. It’s given that angle A measures \"50. If angle B measured \"100, the measure of angle C would be \"180. Thus, the measures of the angles in the triangle would be \"50, \"100, and \"30. However, an isosceles triangle has two angles of equal measure. Therefore, angle B can’t measure \"100.

Choice A is incorrect. If angle B has measure \"50, then angle C would measure \"180, and \"50, \"50, and \"80 could be the angle measures of an isosceles triangle. Choice B is incorrect. If angle B has measure \"65, then angle C would measure \"180, and \"50, \"65, and \"65 could be the angle measures of an isosceles triangle. Choice C is incorrect. If angle B has measure \"80, then angle C would measure \"180, and \"50, \"80, and \"50 could be the angle measures of an isosceles triangle.

\n","correct_answer":["D"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.623000+00:00","source_updated_at":"2023-08-02T20:25:59.623000+00:00","options":[{"label":"A","content_html":"\n \n \"50\n \n","ord":0},{"label":"B","content_html":"\n \n \"65\n \n","ord":1},{"label":"C","content_html":"\n \n \"80\n \n","ord":2},{"label":"D","content_html":"\n \n \"100\n \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}}