Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 1 - Review Exercises - Page 41: 17

Answer

R$=82^{\circ}$, N$=12^{\circ}$ and M$=86^{\circ}$

Work Step by Step

Since the triangles are similar, corresponding angles also have the same measure. Since P corresponds to R and P measures 82$^{\circ}$, R also measures 82$^{\circ}$. Since N corresponds to Q and Q measures 12$^{\circ}$, N also measures 12$^{\circ}$. Since M corresponds to S and S measures 86$^{\circ}$, M also measures 86$^{\circ}$.
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