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: 48

Answer

$74^{\circ}, 28^{\circ}, 78^{\circ}$

Work Step by Step

1. These angels are marked as congruent, so they have the same measure $\angle X= \angle T= 74^{\circ}$ $\angle Y= \angle V= 28^{\circ}$ 2. To find third number we apply the rule that sum of angles of a triangle is 180 degrees $\angle Z= \angle W= 180^{\circ}-74^{\circ}-28^{\circ}=78^{\circ}$
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