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: 6


$m\angle 1$ is $85^{\circ}$, and $m\angle 2$ is $95^{\circ}$.

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 corresponding angles, which are congruent. $\angle 1$ is supplementary to $\angle 2$ because they are same-side interior angles, which are supplementary. Let's subtract $m\angle 1$ from $180^{\circ}$ to find $m\angle 2$: $180 - 85 = 95$ $m\angle 1$ is $85^{\circ}$, and $m\angle 2$ is $95^{\circ}$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.