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 11: 11

Answer

$ 45^{\circ}$ is an acute angle. Complement of $ 45^{\circ}$ = $ 45^{\circ}$ Supplement of $ 45^{\circ}$ = $135^{\circ}$

Work Step by Step

$ 45^{\circ}$ is an acute angle as angles that measure between $0° $and $90° $ are called acute angles. Complement of $ 45^{\circ}$ = $ 90^{\circ} - 45^{\circ}$ = $ 45^{\circ}$ (Because sum of the measures of complementary angles is 90 degrees) Supplement of $ 45^{\circ}$ = $ 180^{\circ} - 45^{\circ}$ = $ 135^{\circ}$ (Because sum of the measures of supplementary angles is 180 degrees)
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