{"id":"cb_question_bank:5bcb0fa8-893d-4ddb-bc17-78a114da35cf","source_id":"cb_question_bank","source_item_id":"5bcb0fa8-893d-4ddb-bc17-78a114da35cf","external_id":"32a77034-9666-46e7-b78c-a2b1427d5d9b","ibn":null,"question_id":"0d3f51dc","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":"Clockwise from top left, the lines are labeled t, m, and n. Line t intersects both line m and line n. At the intersection of line t and line m, 1 angle is labeled clockwise from top left as follows: Bottom left: x° At the intersection of line t and line n, 1 angle is labeled clockwise from top left as follows: Bottom right: 33° A note indicates the figure is not drawn to scale. In the figure, line m is parallel to line n , and line t intersects both lines. What is the value of x ?","stimulus":"","stimulus_html":null,"stem_html":"

\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n

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In the figure, line m\n is parallel to line n\n, and line t\n intersects both lines. What is the value of x\n? 

","rationale_html":"

Choice D is correct. It’s given that line m\n is parallel to line n\n, and line t\n intersects both lines. It follows that line t\n is a transversal. When two lines are parallel and intersected by a transversal, exterior angles on the same side of the transversal are supplementary. Thus, \n\t\n\t\tx\n\t\t+\n\t\t33\n\t\n\t=\n\t180\n\n. Subtracting 33\n from both sides of this equation yields \n\tx\n\t=\n\t147\n\n. Therefore, the value of x\n is 147\n.

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Choice A is incorrect and may result from conceptual or calculation errors.

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Choice B is incorrect and may result from conceptual or calculation errors.

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Choice C is incorrect and may result from conceptual or calculation errors.

","correct_answer":["D"],"has_media":true,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.839000+00:00","source_updated_at":"2023-08-02T20:25:59.839000+00:00","options":[{"label":"A","content_html":"

33\n

","ord":0},{"label":"B","content_html":"

57\n

","ord":1},{"label":"C","content_html":"

123\n

","ord":2},{"label":"D","content_html":"

147\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}}