Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 3 - Parallel and Perpendicular Lines - 3-2 Properties of Parallel Lines - Practice and Problem-Solving Exercises: 12

Answer

$m\angle1=75$ $m\angle2=105$

Work Step by Step

The Corresponding Angles Theorem tells us that $m\angle1=75$, because $\angle1$ and the angle labeled $75^o$ are a corresponding angle pair. $\angle2$ and the angle labeled $75^o$ form a linear pair, so they are supplementary. $m\angle2+75=180$ $m\angle2=105$
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