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: 13

Answer

$m\angle1=120$ $m\angle2=60$

Work Step by Step

$\angle 1$ forms a corresponding angle pair with the angle marked $120^o$. The corresponding angle theorem tells us these two angles are congruent, so they have the same measure. $\angle 2$ forms a same-side interior angle pair with the angle marked $120^o$. The same-side interior angle postulate tells us these two angles are supplementary. $m\angle2+120=180$ $m\angle2=60$
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