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: 14

Answer

$m\angle1=100$ $m\angle2=70$

Work Step by Step

$\angle 1$ forms a same-side interior angle pair with the angle marked $80^o$. The same-side interior angle postulate tells us these two angles are supplementary. $m\angle1+80=180$ $m\angle1=100$ $\angle 2$ forms an alternate interior angle pair with the angle marked $70^o$. The alternate interior angle theorem tells us these two angles are congruent, so have the same measure.
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