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:
$15(13)-54=141^{\circ}$
Trigonometry (10th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
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
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