Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 2 - Section 2.5 - The Point-Slope Form of the Equation of a Line - Exercise Set - Page 167: 97

Answer

See below.

Work Step by Step

If $a,b,c$ are the angles of the triangles and $a$ is the smallest, then: $b=a+20^\circ$, $c=2a$. We also know that $a+b+c=180^\circ$. Thus $a+a+20^\circ+2a=180^\circ\\4a+20^\circ=180^\circ\\40=160^\circ\\a=40^\circ$ Thus the angles are: $a=40^\circ$, $b=40^\circ+20^\circ=60^\circ$, $c=2\cdot40^\circ=80^\circ$
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.