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: 41



Work Step by Step

The angle of $72^\circ$ and the supplementary angle of $m\angle1$ are corresponding angles, which means they are equal. Therefore: $72^\circ+m\angle1=180^\circ$ $m\angle1=108^\circ$ $m\angle1=m\angle2$, because they are vertical angles. $m\angle2=108^\circ$ The statement is false.
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