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: 54

Answer

One angle is 14° and the other is 76°.

Work Step by Step

Let X represent the smallest angle. Since the difference between the angles is 62, then the other is 62 + X. Since the angles are complementary, their sum is 90°. So, we can set up the following equation: X + 62 + X = 90 2X + 62 = 90 Subtract 62 from both sides 2X = 28 Divide both sides by 2: X = 14 The smallest angle is 14, while the other is 62 + 14 = 76.
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