{"id":"cb_practice_pdf:t8-math-m2-q20","source_id":"cb_practice_pdf","source_item_id":"t8-math-m2-q20","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"spr","answer_source":"rationale","layout_warning":"Part of this question was typeset outside the text flow — a fraction, subscript or similar — and PDF extraction re-inserted it in the wrong place. The wording is reliable; the symbols may be out of order.","form_id":"cb_practice_pdf:test-8","module_number":2,"position":20,"stem":"A circle has center O, and points R and S lie on the ORS ∠ROS 88° circle. In triangle, the measure of is. ∠RSO What is the measure of, in degrees? (Disregard the degree symbol when entering your answer.)","stimulus":"","stimulus_html":null,"stem_html":"<p>A circle has center O, and points R and S lie on the ORS ∠ROS 88° circle. In triangle, the measure of is. ∠RSO What is the measure of, in degrees? (Disregard the degree symbol when entering your answer.)</p>","rationale_html":"<p>46 The correct answer is . It’s given that O is the center of a circle and that points R and S lie on the circle. Therefore, OR and OS are radii of the circle. It follows = that OR OS. If two sides of a triangle are congruent, then the angles opposite + + them are congruent. It follows that the angles RSO and ORS, which are c across from the sides of equal length, are congruent. Let x represent the + + c measure of RSO. It follows that the measure of ORS is also x . It’s given that + c the measure of ROS is 88. Because the sum of the measures of the interior 180c c+ c+88c=180c 2 +88=180 angles of a triangle is , the equation x x , or x , can + be used to find the measure of RSO. Subtracting 88 from both sides of this 2 =92 =46 equation yields x . Dividing both sides of this equation by 2 yields x . + 46 Therefore, the measure of RSO, in degrees, is .</p>","correct_answer":["46"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}