Answer
x=22.5$^{\circ}$
m$\angle$5=92$^{\circ}$
Work Step by Step
m$\angle$1+m$\angle$6=180$^{\circ}$
4x+2+4x-2=180
8x=180
x=22.5$^{\circ}$
m$\angle$5=m$\angle$1=4x+2
m$\angle$5=4(22.5)+2
m$\angle$5=92$^{\circ}$
Elementary Geometry for College Students (5th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
Published by
Brooks Cole
ISBN 10:
1439047901
ISBN 13:
978-1-43904-790-3
Chapter 2 - Section 2.1 - The Parallel Postulate and Special Angles - Exercises - Page 79: 14
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