Given: Lines PT and RV intersect at point Q mzPQV = 3x + 12, and mzVQT = 12x + 3. Prove: mzPQV = 45° Statement: 1. PQV and VQT form a linear pair 2.mzPQV+mzVQT = 180° 2. Postulate 3. mzPQV = 3x + 12 4. m/VQT = 12x+3 5.3x+12+12x+3=180° 6. 15x+15= 180° 7.15x=165° 8.x= 11° 9. mzPQV=3(11) +12 10. mzPQV=45° Reason: 8. 1. Given 3. Given 4. Given 5. Substitution 6. Algebra 7.[? ] 9. Substitution 10. Arithmetic
Given: Lines PT and RV intersect at point Q mzPQV = 3x + 12, and mzVQT = 12x + 3. Prove: mzPQV = 45° Statement: 1. PQV and VQT form a linear pair 2.mzPQV+mzVQT = 180° 2. Postulate 3. mzPQV = 3x + 12 4. m/VQT = 12x+3 5.3x+12+12x+3=180° 6. 15x+15= 180° 7.15x=165° 8.x= 11° 9. mzPQV=3(11) +12 10. mzPQV=45° Reason: 8. 1. Given 3. Given 4. Given 5. Substitution 6. Algebra 7.[? ] 9. Substitution 10. Arithmetic
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.1: Sets And Geometry
Problem 7E: Let A, B, and C lie on a straight line as shown near Exercise 8. Classify these claims as true or...
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