{"id":"cb_question_bank:945871e7-13d7-43e3-9577-9a8f0abe9b44","source_id":"cb_question_bank","source_item_id":"945871e7-13d7-43e3-9577-9a8f0abe9b44","external_id":null,"ibn":"08250-DC","question_id":"992f4e93","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 figure above, lines l and k are parallel. What is the value of a ?","stimulus":"The figure presents 2 horizontal lines l and k, with line l above line k. A third line, labeled j, runs from the bottom left and slants to the top right, intersecting both lines l and k. The angle above line l and to the left of line j is labeled a degrees. The angle above line k and to the right of line j is labeled 64 degrees. Note that the figure is not drawn to scale.","stimulus_html":"<div class=\"stimulus_reference \">\n        <div class=\"standalone_image \">\n          <img src=\"/api/assets/af3e575a0c050cb52db226f41709d9716e96cd4feedd86faf924ee2aaccd620b\" alt=\"The figure presents 2 horizontal lines l and k, with line l above line k. A third line, labeled j, runs from the bottom left and slants to the top right, intersecting both lines l and k. The angle above line l and to the left of line j is labeled a degrees. The angle above line k and to the right of line j is labeled 64 degrees. Note that the figure is not drawn to scale.\" width=\"146\" height=\"107\"></div>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">In the figure above, lines <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b3ed61300b239762a0f7bec1dc9a48ecd5e011d08d5338f426429aa3c459a067\" alt=\"l\"></span></span> and <span class=\"italic\">k</span> are parallel. What is the value of <span class=\"italic\">a</span> ?</p>\n","rationale_html":"<p>Choice C is correct. Since lines <span class=\"italic\"></span><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b3ed61300b239762a0f7bec1dc9a48ecd5e011d08d5338f426429aa3c459a067\" alt=\"l\"></span> and <span class=\"italic\">k</span> are parallel, corresponding angles formed by the intersection of line <span class=\"italic\">j</span> with lines&nbsp;<span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b3ed61300b239762a0f7bec1dc9a48ecd5e011d08d5338f426429aa3c459a067\" alt=\"l\"></span> and <span class=\"italic\">k</span> are congruent. Therefore, the angle with measure <span class=\"italic\">a</span>° must be the supplement of the angle with measure 64°. The sum of two supplementary angles is 180°, so <span class=\"italic\">a</span> = 180 – 64 = 116.</p><p>Choice A is incorrect and likely results from thinking the angle with measure <span class=\"italic\">a°</span> is the complement of the angle with measure 64°. Choice B is incorrect and likely results from thinking the angle <span class=\"italic\"></span>with measure<span class=\"italic\"> a</span>° is congruent to the angle with measure 64°. Choice D is incorrect and likely results from a conceptual or computational error.</p><p></p>\n","correct_answer":["C"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.635000+00:00","source_updated_at":"2023-08-02T20:25:59.635000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">26</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">64</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">116</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">154</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}}