{"id":"cb_question_bank:04ea6ab1-f8ca-4ba1-bc73-70d31103499d","source_id":"cb_question_bank","source_item_id":"04ea6ab1-f8ca-4ba1-bc73-70d31103499d","external_id":null,"ibn":"05759-DC","question_id":"f88f27e5","program":"SAT","module":"math","domain_code":"S","domain":"Geometry and Trigonometry","skill_code":"S.B.","skill":"Lines, angles, and triangles","difficulty":"H","score_band":6,"answer_type":"spr","answer_source":"rationale","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"What is the value of x ?","stimulus":"Intersecting lines r , s , and t are shown below. The figure presents three intersecting lines, labeled r, s, and t. Line s begins near the top of the figure and extends downward and slightly to the left. Line t begins to the left of line s, and extends downward and to the right, intersecting line s. Line r begins below line t and to the left of line s. Line r extends upward and to the right, first intersecting line s and then line t. The following angle measures are indicated: the angle formed to the right of line s and above line t measures 106 degrees, and the angle formed to the left of line s and above line r measures x degrees. The angle formed below line t and above line r measures 23 degrees.","stimulus_html":"<div class=\"stimulus_reference \">\n\t<div class=\"passage \">\n\t\t<div class=\"prose style:1 \">\n\t\t\t<p class=\"passage_para \">Intersecting lines <span class=\"italic\">r</span>, <span class=\"italic\">s</span>, and <span class=\"italic\">t</span> are shown below.</p>\n\t\t</div>\n\t</div>\n\n\t<div class=\"standalone_image \"><img src=\"/api/assets/c1cda9e6c04f93ebef340a1bb2ebd1ac4d564f7e948726186d5dd9f3522dd2c7\" alt=\"The figure presents three intersecting lines, labeled r, s, and t. Line s begins near the top of the figure and extends downward and slightly to the left. Line t begins to the left of line s, and extends downward and to the right, intersecting line s. Line r begins below line t and to the left of line s. Line r extends upward and to the right, first intersecting line s and then line t. The following angle measures are indicated: the angle formed to the right of line s and above line t measures 106 degrees, and the angle formed to the left of line s and above line r measures x degrees. The angle formed below line t and above line r measures 23 degrees.\" width=\"155\" height=\"87\"></div>\n</div>\n","stem_html":"<p class=\"stem_paragraph \">What is the value of <span class=\"italic\">x</span> ?</p>\n","rationale_html":"<p>The correct answer is 97. The intersecting lines form a triangle, and the angle with measure of <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/5877f887e14ac31b9a2697d829281b52cfb818895e7bd181e0390c0984a409d0\" alt=\"x degrees\"></span> is an exterior angle of this triangle. The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles of the triangle. One of these angles has measure of <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/0edfefc4e45eb0502f705b0f11e91079d59e2b845f5da3a20610737b24de5051\" alt=\"23 degrees\"></span> and the other, which is supplementary to the angle with measure <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/858841ebdf01c86d9836d3eff02283ece61a06993a6b51eb08f48fe5b99cad2d\" alt=\"106 degrees\"></span>, has measure of <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/027cb39d79207b3622ec7604dc3f74dd423cc53f3b77238b7029fc382046cfad\" alt=\"180 degrees minus 106 degrees, equals 74 degrees\"></span>. Therefore, the value of <span class=\"italic\">x</span> is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/a3aad010d7f31695261d68f3afcdef5fdfaf47b198a691b401c539aa4bbbf104\" alt=\"23 plus 74, equals 97\"></span>.</p>\n","correct_answer":["97"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.630000+00:00","source_updated_at":"2023-08-02T20:25:59.630000+00:00","options":[],"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}}