Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 1 - Tools of Geometry - Mid-Chapter Quiz - Page 41: 16


a) x=36 b) $\angle ABC$ is acute. $\angle CBD$ is obtuse.

Work Step by Step

Use the definition of a linear pair: $m\angle ABC+m\angle CBD=180$ Substitute: $2x+3x=180$ Combine line terms: $5x=180$ Divide each side by 5: $5x\div5=180\div5$ $x=36$ Substitute to find the measures: $m\angle ABC=2x=2(36)=72$; acute, since the angle is between and 90 $m\angle CBD=3x=3(36)=108$; obtuse since the angle is between 90 and 180
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.