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
$7x+4+5x+2= 90^{\circ}$
$12x+6=90^{\circ}$
$12x=90-6$
$12x=84$
$12x=84\div12$
$x=7$
Elementary Geometry for College Students (5th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
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 - Page 97: 24
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