Elementary Algebra

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

Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapters 1-4 Cumulative Review Problem Set: 48

Answer

One angle is 45°. The other angle is 135°.

Work Step by Step

Let x represent one angle. The other one is 45 degrees smaller than four times the first angle. Four times the other angle means 4x. 45 smaller than four times the other angle means 4x - 45. So, one angle is x and the other 4x - 45. Because the angles are supplementary, their sum is 180. So, x + 4x - 45 = 180 5x - 45 = 180 5x = 225 Divide both sides by 5. x = 45 One angle is 45°. The other angle is 180 - 45 = 135°.
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