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 - Page 14: 75

Answer

(d) Complement = $29^{\circ}$, supplement = $119^{\circ}$

Work Step by Step

Given angle = $61^{\circ}$ Complement of $ 61^{\circ}$ = $ 90^{\circ} - 61^{\circ}$ = $29^{\circ}$ (As sum of the measures of complementary angles is 90 degrees, we can find 'one' by subtracting 'other' from $90^{\circ}$ ) Supplement of $ 61^{\circ}$ = $ 180^{\circ} - 61^{\circ}$ = $119^{\circ}$ (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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