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 - Exercise Set - Page 133: 22


The measure of each angle is 74°, 74°, and 32°.

Work Step by Step

The sum of the measures of the angles of a triangle is 180°. In the triangle below, angle C has the same measure as angle B, and angle A measures 42° less than angle B. Find the measure of each angle. Let angles B and C be x, and angle A be y. $y=x-42$ $2x+y=180$ $2x+(x-42)=180$ $3x=222$ $x=74°$ $2*74+y=180$ $148+y=180$ $y=32°$ Hence, the measure of each angle is 74°, 74°, and 32°.
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