Question

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?

Answer 1

Answer:

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°