Answer
The locus is the angle bisector.
Work Step by Step
In the picture, the distance of both sides of the angle from any point X on the line is equal.
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 7 - Review Exercises - Page 338: 7
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