Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 1 - Quiz (Sections 1.1-1.2) - Page 21: 2

Answer

$65^{\circ}; 115^{\circ}$

Work Step by Step

1. Supplementary angles have a sum of 180 degrees $(3x+5) +5x+15) =180$ 2. Solve for x : $8x+20=180$ $8x=160$ $x=20$ 3. Replace x to find the angles: $5(20)+15=115 ^{\circ}$ $3(20)+5=65 ^{\circ}$
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