Elementary Algebra

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

Chapter 3 - Equations and Problem Solving - Chapter 3 Review Problem Set: 50

Answer

The smallest angle is 34 degrees. The other angle is 99 degrees.

Work Step by Step

Let X represent the smallest of the two angles. The other one is 3 smaller than three times the other angle, which means 3 smaller than three times X. Three times X means 3X. 3 smaller than three times X means 3X - 3. So, this angle is 3X - 3. The first angle was 47 degrees, and we know that the sum of the angles of a triangle equals 180 degrees. So, we set up the following equation: 47 + X + 3X - 3 = 180 4X + 44 = 180 4X = 136 Divide both sides by 4: X = 34 The smallest angle is 34 degrees. The other angle is 3 $\times$ 34 - 3 = 99 degrees.
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