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: 56

Answer

The angles are 38, 42 and 100.

Work Step by Step

Let X represent the smallest angle. Three times the smallest means 3X. 14 less than three times the smallest angle means 3X - 14. 4 larger than the smallest angle means 4 + X Thus, the angles are X, 3X - 14, and 4 + X The sum of the angles in a triangle is 180, so we obtain: X + 3X - 14 + 4 + X = 180 5X - 10 = 180 Add 10 to both sides. 5X = 190 Divide both sides by 5. X = 38 Since X = 38, 3X - 14 = 100, and 4 +X = 42 The angles are 38, 42 and 100.
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