Elementary Algebra

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

Chapter 3 - Equations and Problem Solving - 3.3 - More on Solving Equations and Problem Solving - Problem Set 3.3: 52

Answer

The angles are 30 and 150.

Work Step by Step

Let n represent the first angle. The other is five times as large, which means the other angle is 5n. The sum of two supplementary angles is 180, so we obtain: n + 5n = 180 6n = 180 Divide both sides by 6: n = 30 Since n = 30, 5n = 150. The angles are 30 and 150.
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