Angle A and angle B are supplementary. The measure of angle B is 15∘ less than the measure of angle A. What is the measure of angle B, in degrees?

The answer to your question is B = 82.5°

Step-by-step explanation:

Data

A and B are supplementary angles

A = x

B = x - 15°

Process

1. - Write and equation to solve this problem. As these angles are supplementary the sum equals 180°.

A + B = 180°

2. - Substitution

x + x - 15 = 180

3. - Solve for x

2x = 180 + 15

2x = 195

x = 195 / 2

x = 97.5

4. - Find the measure of angle B

B = x - 15

B = 97.5 - 15

B = 82.5°