14 Mikayla is using the following to prove that ZTUS and ZPUQ are complementary angles in the diagram shown. Given: The ray US bisects TUR and the ray UQ bisects PUR. Part of her proof is shown. Reasons Statements TUP Is a line. 1. ZTUR and LPUR are supplementary angles. 1. Definition of supplementary angles 2. 2. m TUR + m PUR = 180° 3. Property of angle bisectors m TUR = 2 M TUS mz PUR = 2 m PUQ 3. 4. Substitution Division property of equality Definition of complementary angles 5. 6. ZTUS and PUQ are complementary angles. 29 LEFT > NEXT US 2 9. acer 456
14 Mikayla is using the following to prove that ZTUS and ZPUQ are complementary angles in the diagram shown. Given: The ray US bisects TUR and the ray UQ bisects PUR. Part of her proof is shown. Reasons Statements TUP Is a line. 1. ZTUR and LPUR are supplementary angles. 1. Definition of supplementary angles 2. 2. m TUR + m PUR = 180° 3. Property of angle bisectors m TUR = 2 M TUS mz PUR = 2 m PUQ 3. 4. Substitution Division property of equality Definition of complementary angles 5. 6. ZTUS and PUQ are complementary angles. 29 LEFT > NEXT US 2 9. acer 456
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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