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: 47

Answer

$106^{\circ}, 30^{\circ}, 44^{\circ}$

Work Step by Step

1. These angles marked as congruent, so have the same measure $\angle B=\angle K=106^{\circ}$ $\angle C= \angle N= 30^{\circ}$ 2. To find third angle we need to remember that angle in the triangle sum up to 180 degrees $\angle A= \angle M= 180^{\circ}-106^{\circ}-30^{\circ}=44^{\circ}$
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