Question

\angle a∠aangle, a and \angle b∠bangle, b are complementary angles. \angle a∠aangle, a measures 28^\circ28 ∘ 28, degrees. What is the measure of \angle b∠bangle, b?

Answer 1

Angle B: 62

Explanation:

90 degrees minus angle a, (28 degrees) to get 62 degrees.

Answer 2

62 degrees

Explanation:

If two angles are complementary, it means that their sum is 90degrees

Hence if m<a and m<b are complementary, then;

m<a + m<b = 90

Given

m<a = 28degrees

Required

m<b

Substitute into the formula as shown;

28 + m<b = 90

m<b = 90 - 28

m<b = 62degrees

Hence the measure of angle b is 62 degrees