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: 46

Answer

$46^{\circ},78^{\circ},56^{\circ}$

Work Step by Step

1. $\angle B= \angle M= 46^{\circ}$ $\angle C= \angle P= 78^{\circ}$ These angles are marked as congruent and therefore have the same measure 2. To get final angle we need to remember that angles in a triangle sum up to 180 degrees $\angle A= \angle N= 180^{\circ}- 46^{\circ}- 78^{\circ}= 56^{\circ}$
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