Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 2 - Section 2.4 - The Angles of a Triangle - Exercises: 24

Answer

$x=7$

Work Step by Step

$m\angle 1+m\angle 2=90^{\circ}$ because two acute angles of a right triangle are complementary putting given values $7x+4+5x+2= 90^{\circ}$ $12x+6=90^{\circ}$ $12x=90-6$ $12x=84$ $12x=84\div12$ $x=7$
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