Trigonometry (10th Edition)

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

Chapter 1 - Trigonometric Functions - Section 1.1 Angles - 1.1 Exercises: 17

Answer

40° and 140°

Work Step by Step

1. Once two angles form straight line, you know they must add up to be $180^{\circ}$. Don't be thrown by the coefficients being negative; it just means that we should expect a negative number of x. (-4x) + (-14x) = 180 -18x = 180 x = -10 2. Insert the value of x to find the unknown angles (-4)(-10) = 40° (-14)(-10) = 140°
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