Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 2 - Section 2.6 - Problem Solving in Geometry - Exercise Set: 31

Answer

50$^\circ$, 50$^\circ$, and 80$^\circ$

Work Step by Step

Since two angles have the same measure, they will be represented by x. The other angle is 30$^\circ$ greater so it will be x+30. The sum of the angles in a triangle is always 180$^\circ$. x+x+x+30=180 x+x+x=180-30 x+x+x=150 3x=150 x=$\frac{150}{3}$ x=50 Therefore two angles have a measure of 50$^\circ$ x+30=(50)+30=80 The third angle has a measure of 80$^\circ$.
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