Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 12 - Cumulative Review - Page 447: 24

Answer

The angles 1 and 2 equal $82^{\circ}$. The angles 3 and 5 equal $98^{\circ}$.

Work Step by Step

Since angles 4 and 1 are exterior alternate, then they are equal. That is, the measure of 1 is $82^{\circ}$. Since angles 5 and 4 are supplementary, then the measure of angle 5 is $180-82=98^{\circ}$. Since angles 1 and 2 are vertical, then they are equal. That is, the measure of angle 2 is $ 82^{\circ}$. Since angles 3 and 5 are interior alternate, then they are equal. That is, the measure of angle 3 is $98^{\circ}$.
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.