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 15: 4

Answer

139$^{\circ}$ and 41$^{\circ}$

Work Step by Step

1. Vertical angles are congruent 11x-37=7x+27 2. Solve the equation to find x: 11x-7x= 27+37 4x=54 x=16 3. Plug x into one of the angles to find the angle itself: 11(16)-37=139$^{\circ}$ 4. Find the supplementary angle 180-139=41$^{\circ}$
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