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: 18


B = $45^{\circ}$

Work Step by Step

In right triangle CDB- Given acute angle C = $45^{\circ}$ and B is also an acute angle. We know that acute angles of a right triangle add up to $90^{\circ}$ Therefore B + C = $90^{\circ}$ B + $45^{\circ}$ = $90^{\circ}$ B = 90 - 45 = $45^{\circ}$
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