Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 9 - Review: 12

Answer

$\angle SQT+\angle TQV= 58^{\circ}+32^{\circ}=90^{\circ}$ $\angle PQS+\angle VQR= 47^{\circ}+43^{\circ}=90^{\circ}$

Work Step by Step

Two angles are complementary if they add up to $90^{\circ}$, which is a right angle. In the picture, there are 4 different angles, but only 2 pairs can be formed, where they add up to $90^{\circ}$. $\angle SQT+\angle TQV= 58^{\circ}+32^{\circ}=90^{\circ}$ $\angle PQS+\angle VQR= 47^{\circ}+43^{\circ}=90^{\circ}$
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