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 - Chapter Test - Page 211: 5


$m\angle 1$ is $85^{\circ}$, and $m\angle 2$ is $110^{\circ}$.

Work Step by Step

If the lines are parallel, then $m\angle 1$ is $85^{\circ}$ because the angle whose measurement is given and $\angle 1$ are alternate interior angles, which are congruent. $\angle 2$ and the other angle whose measurement is given are supplementary because they are same-side interior angles, which are supplementary. Let's subtract $70^{\circ}$ from $180^{\circ}$ to find $m\angle 2$: $180 - 70 = 110$ $m\angle 1$ is $85^{\circ}$, and $m\angle 2$ is $110^{\circ}$.
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