## Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole

# Chapter 2 - Review Exercises - Page 117: 5

x=20 y=10

#### Work Step by Step

Using the known supplementary angles, we obtain: $2x - y + 150 = 180 \\ 2x -y = 30$ And: $2x + y + 130 = 180 \\ 2x + y = 50$ Substituting $y = 50 -2x$ into the first equation, we find: $2x - 50 + 2x = 30 \\ 4x = 80 \\ x = 20$ Thus: $y = 50 - 2(20) = 10$

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