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: 49

Answer

$38^{\circ}, 90^{\circ}, 52^{\circ}$

Work Step by Step

1. These angles are marked as congruent, so they have the same measure $\angle Z= \angle P= 38^{\circ}$ 2. These angles are marked as right angles $\angle Y= \angle N= 90^{\circ}$ 3. To find third angle we apply the rule that sum of angles of a triangle is 180 degrees $\angle X= \angle M= 180^{\circ}-90^{\circ}-38^{\circ}=52^{\circ}$
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