Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 2 - Review Exercises - Page 131: 5

Answer

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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