Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 2 - Section 2.4 - An Introduction to Problem Solving - Practice: 6

Answer

Smallest is 30 degrees, second is 60 degrees, third is 90 degrees.

Work Step by Step

If we denote the angle of the smallest angle with x, the second angle is 2x, and the third angle is 3x. The sum of all angles in a triangle always equals 180, so we write the equation as: x + 2x + 3x = 180 Solve for x: 6x = 180 x = 30 The smallest angle is x = 30, the second angle is 2x = 2*30 = 60, and the third angle is 3x = 3*30 = 90.
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