Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 2 - Review Exercises: 6

Answer

x = 30 y = 35

Work Step by Step

Because they are alternate angles, we know that BFE equals FBC. Thus: $ 2x + 15 = x + 45 \\ x =30$ Knowing that $3y = 135 -x $, we obtain: $ 3y = 135 - 30 \\ 3y = 105 \\ y = 35$
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