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: 13

Answer

$48^{\circ}, 132^{\circ}$

Work Step by Step

1. Supplementary angles add up to 180 degrees: $(x+1)^{\circ}+(4x-56)^{\circ}= 180^{\circ}$ 2. Solve for x: $ 5x -55 = 180 $ $5x=235$ $x=47^{\circ}$ 3. Replace the x and find the angles: $(47)+1=48^{\circ}$ $4(47)-56=132^{\circ}$
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