Elementary Geometry for College Students (5th Edition)

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

Chapter 1 - Section 1.4 - Angles and Their Relationships - Exercises - Page 38: 36

Answer

See the picture below:
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Work Step by Step

If we imagine, that $\angle DEF=90^{\circ}$ we only have to construct the angle bisector. By using a compass mark an arc to intersect the sides of $\angle DEF$. Now with those two points as centers, mark off two arcs with equal radii to intersect point $A$. Connect this point with E to get the angle bisector.
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