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 16: 14

Answer

141°

Work Step by Step

1. Since m and n are parallel, the two angles are alternate exterior angles and congruent $15x-54=10x+11$ 2. Solve for x: $5x-54=11$ $5x=65$ $x=13^{\circ}$ 3. Replace x to find the angle: $15(13)-54=141^{\circ}$
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