Trigonometry (10th Edition)

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

Chapter 1 - Trigonometric Functions - Section 1.2 Angle Relationships and Similar Triangles - 1.2 Exercises - Page 17: 45


Q=$42^{\circ}$, B=R=$48^{\circ}$

Work Step by Step

Since the triangles are similar, all corresponding angles are the same. AT P and C the angle is $90^{\circ}$. At A the angle is $42^{\circ}$, therefore at Q it is the same, $42^{\circ}$. At both B and R, the angles are $180^{\circ}-90^{\circ}-42^{\circ}=48^{\circ}$.
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