Answer
x=72$^{\circ}$
m$\angle$1=72$^{\circ}$
m$\angle$DAE=36$^{\circ}$
Work Step by Step
m$\angle$1+m$\angle$2+m$\angle$DAE=180
x+x+$\frac{x}{2}$=180
5x=360
x=72$^{\circ}$
m$\angle$1=x=72$^{\circ}$
m$\angle$DAE=$\frac{x}{2}$=36$^{\circ}$
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 - Section 2.4 - The Angles of a Triangle - Exercises - Page 93: 21
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