Question

If ∠A is a complement to∠B and the m∠A=° 31°, what is the measure of ∠ B ∠B?

Answer 1

Two angles are complementary if their sum is 90 degrees.

Then, we can write the following equation:

`m\angle A+m\angle B=90\text{\degree}`

Now, we replace the measure of angle A in the above equation, and we solve for the measure of angle B:

`31\text{\degree}+m\angle B=90\text{\degree}`