{"id":"cb_practice_pdf:t11-math-m1-q1","source_id":"cb_practice_pdf","source_item_id":"t11-math-m1-q1","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-11","module_number":1,"position":1,"stem":"1 In the triangle shown, PQ = QR. What is the value of x?","stimulus":"","stimulus_html":null,"stem_html":"<p>1 In the triangle shown, PQ = QR. What is the value of x?</p>","rationale_html":"<p>180° Choice D is correct. The sum of the angle measures of a triangle is . It’s given 132° 24° that the measure of angle Q is , the measure of angle P is , and the +132+24=180 +152=180 measure of angle R is x°. It follows that x , or x . 152 =24 Subtracting from both sides of this equation yields x . = Alternate approach: It’s given that in the triangle shown, PQ QR. Thus, triangle PQR is an isosceles triangle. Since base angles of an isosceles triangle are congruent, the measure of angle P is equal to the measure of angle R. 24° 24 Therefore, the measure of angle R is , and the value of x is . Choice A is incorrect. This is the sum of the measures, in degrees, of angles Q and P, not the measure, in degrees, of angle R. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect. This is the sum of the measures, in degrees, of angles P and R, not the measure, in degrees, of angle R.</p>","correct_answer":["D"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>156</p>","ord":0},{"label":"B","content_html":"<p>66</p>","ord":1},{"label":"C","content_html":"<p>48</p>","ord":2},{"label":"D","content_html":"<p>24</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}}