{"id":"cb_practice_pdf:t8-math-m1-q19","source_id":"cb_practice_pdf","source_item_id":"t8-math-m1-q19","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":"mcq","answer_source":"rationale","layout_warning":null,"form_id":"cb_practice_pdf:test-8","module_number":1,"position":19,"stem":"The measure of angle R is 2π/3 radians. The measure of angle T is 5π/12 radians greater than the measure of angle R. What is the measure of angle T, in degrees?","stimulus":"","stimulus_html":null,"stem_html":"<p>The measure of angle R is 2π/3 radians. The measure of angle T is 5π/12 radians greater than the measure of angle R. What is the measure of angle T, in degrees?</p>","rationale_html":"<p>2r Choice C is correct. It’s given that the measure of angle R is 3 radians, and the 5r measure of angle T is 12 radians greater than the measure of angle R. Therefore, the measure of angle T is equal to 2 3 r+ 1 5 2 r radians. Multiplying 2 3 r by 4 to get a 5r 8r 2r+ 5r 4 8r+ 5r common denominator with 12 yields 12. Therefore, 3 12 is equivalent to 12 12, 13r 13r or 12. Therefore, the measure of angle T is 12 radians. The measure of angle T, 180 in degrees, can be found by multiplying its measure, in radians, by r . This yields 13r#180 195 12 r , which is equivalent to degrees. Therefore, the measure of angle T 195 is degrees. 36 SAT PRACTICE TEST #8 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 1 Choice A is incorrect. This is the number of degrees that the measure of angle T is greater than the measure of angle R. Choice B is incorrect. This is the measure of angle R, in degrees. Choice D is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["C"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>75</p>","ord":0},{"label":"B","content_html":"<p>120</p>","ord":1},{"label":"C","content_html":"<p>195</p>","ord":2},{"label":"D","content_html":"<p>390</p>","ord":3}],"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}}