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: 50

Answer

$64^{\circ}, 20^{\circ}, 96^{\circ}$

Work Step by Step

1. These angles are marked as congruent, so they have the same measure $\angle Q= \angle V= 64^{\circ}$ $\angle P= \angle T= 20^{\circ}$ 2. To find third angle we apply the rule that sum of angles of a triangle is 180 degrees $\angle R= \angle U= 180^{\circ}-20^{\circ}-64^{\circ}=96^{\circ}$
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