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: 33

Answer

76$^\circ$, 61$^\circ$, 43$^\circ$

Work Step by Step

The sum of the measures of the angles in a triangle is always 180$^\circ$. 4x+3x+4+2x+5=180 (4x+3x+2x)+(4+5)=180 (7x+2x)+9=180 9x+9=180 9x=180-9 9x=171 x=$\frac{171}{9}$ x=19 4x=4(19)=76$^\circ$ 3x+4=3(19)+4=57+4=61$^\circ$ 2x+5=2(19)+5=38+5=43$^\circ$
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