{"id":"cb_question_bank:2778966f-3a96-4dac-9989-7880fb9881ea","source_id":"cb_question_bank","source_item_id":"2778966f-3a96-4dac-9989-7880fb9881ea","external_id":"9df9e1c7-bfff-4d4e-865f-5cbcb4b24e4c","ibn":null,"question_id":"c24e1bda","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 3 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: 134° At the intersection of line t and line n, 1 angle is labeled clockwise from top left as follows: Bottom left: w° A note indicates the figure is not drawn to scale. In the figure, line m is parallel to line n . What is the value of w ?","stimulus":"","stimulus_html":null,"stem_html":"

\n

In the figure, line m\n is parallel to line n\n. What is the value of w\n?

","rationale_html":"

Choice D is correct. It's given that lines m\n and n\n are parallel. Since line t\n intersects both lines m\n and n\n, it's a transversal. The angles in the figure marked as 134° and w° are on the same side of the transversal, where one is an interior angle with line m\n as a side, and the other is an exterior angle with line n\n as a side. Thus, the marked angles are corresponding angles. When two parallel lines are intersected by a transversal, corresponding angles are congruent and, therefore, have equal measure. It follows that w°=134°. Therefore, the value of w\n is 134\n.

\n

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

\n

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

\n

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":"2023-08-02T20:25:59.840000+00:00","source_updated_at":"2023-08-02T20:25:59.840000+00:00","options":[{"label":"A","content_html":"

13\n

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

34\n

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

66\n

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

134\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}}