Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 1 - Trigonometric Functions - Section 1.2 Angle Relationships and Similar Triangles - 1.2 Exercises - Page 16: 21


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

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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