in triangle ABC <A and <B are complementary, where cos A=0.5 what is the measure in degrees of <B show work
Since angle A and angle B are complementary, we know that angle B = 90 - angle A.
Given that cosine of angle A is 0.5, we can use the inverse cosine function to find the measure of angle A in degrees:
cos(A) = 0.5
A = cos⁻¹(0.5)
A ≈ 60 degrees
Now we can find the measure of angle B:
B = 90 - A
B = 90 - 60
B = 30 degrees
Therefore, the measure of angle B is 30 degrees.