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$
Elementary Geometry for College Students (6th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
Published by
Brooks Cole
ISBN 10:
9781285195698
ISBN 13:
978-1-28519-569-8
Chapter 2 - Review Exercises - Page 117: 6
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