Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - 10.1 Points, Lines, Planes, and Angles - Exercise Set 10.1 - Page 617: 37



Work Step by Step

$m \angle 2$ and the angle of $53^\circ$ are vertical, which means they are equal. Also, $m\angle2$ and $m\angle4$ are corresponding angles, as both of their rays are parallel, therefore: $53^\circ=m\angle2=m\angle4$ This means, that the statement is true.
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