Answer
α = $ 38^{\circ}$
Work Step by Step
In problem 23, we established that α and β are complementary angles. Therefore-
α + β = $90^{\circ}$
α = $90^{\circ}$ - β
α = $90^{\circ}$ - $52^{\circ}$
α = $ 38^{\circ}$
Trigonometry 7th Edition
by McKeague, Charles P.; Turner, Mark D.
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: 25
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