Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapter 4 Review Problem Set: 18

Answer

The angle is 20 degrees.

Work Step by Step

Let x represent the angle. The complement of the angle is 90 - x. The supplement of the angle is 180 - x. We set up this proportion. $\frac{7}{16}$ = $\frac{90-x}{180-x}$ To solve this equation, we equate the cross products. 7 $\times$ (180 - x) = 16 $\times$ (90 - x) 1260 - 7x = 1440 - 16x 16x - 7x = 1440 - 1260 9x = 180 Divide both sides by 9. x = 20 The angle is 20 degrees.
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.