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: 57

Answer

The two other angles are 65 and 75.

Work Step by Step

The difference between their measures is 10 means that one is 10 bigger than the other. Let X represent the smaller angle; the bigger angle is X + 10. The third angle has a measure of 40. The sum of the angles in a triangle is 180, so we obtain: X + X + 10 + 40 = 180 2X + 50 = 180 Subtract 50 from both sides 2X = 130 Divide both sides by 2 X = 65 Since X = 65, X + 10 = 75 The two other angles are 65 and 75.
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