The measure of ∠B is 58°.
What is relation between sin and cos for complementary angle?
The relationship between sine and cosine when it comes to complementary angles. Complementary angles are simply two angles that add up to equal 90 degrees. For example, if angle A measures 37 degrees and angle B measures 53 degrees, they're complementary angles, because 37 + 53 = 90.
According to question
m∠A = 32° (given)
cos∠B = sin∠A
cos∠B = cos(90-∠A)
comparing both side
∠B = 90-∠A
∠B = 90- 32°
∠B = 58°
Hence, measure of ∠B is 58° .
To know more about complementary angle here :
https://brainly.com/question/5708372?r
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