Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 1 - Section 1.1 - Angles, Degrees, and Special Triangles - 1.1 Problem Set: 14

Answer

$ 160^{\circ}$ is an obtuse angle. Complement of $ 160^{\circ}$ = $ -70^{\circ}$ Supplement of $ 160^{\circ}$ = $20^{\circ}$

Work Step by Step

$ 160^{\circ}$ is an obtuse angle as angles that measure between $90° $and $180° $ are called obtuse angles. Complement of $ 160^{\circ}$ = $ 90^{\circ} - 160^{\circ}$ = $ -70^{\circ}$ (As sum of the measures of complementary angles is 90 degrees, we can find 'one' by subtracting 'other' from $90^{\circ}$ ) Supplement of $ 160^{\circ}$ = $ 180^{\circ} - 160^{\circ}$ = $ 20^{\circ}$ (As sum of the measures of supplementary angles is 180 degrees, we can find 'one' by subtracting 'other' from $180^{\circ}$)
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