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: 55

Answer

The two angles are 50 and 130.

Work Step by Step

Let X represent the smaller angle. Three times the smaller angle means 3X 20 less than three times the smaller angle means 3X - 20 Since the two angles are supplementary, their sum is 180. Thus, we obtain: X + 3X - 20 = 180 4X - 20 = 180 Add 20 to both sides 4X = 200 Divide both sides by 4 X = 50 Since X = 50, 3X - 20 = 130 The two angles are 50 and 130.
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