Question

Angle A and B are supplementary angles. The measure of angle B is twice the measure of angle A minus 24. Find the measure of the angle A and B.

Answer 1

A = 58

B = 112

Explanation:

A + B = 180 Supplementary angles

B = 2A - 24 Given

Substitute for B in the first equation

A + 2A - 24 = 180

3A - 24 = 180 Add 24 to both sides

3A = 180 + 24 Combine the right

3A = 204 Divide both sides by 3

A = 204/3

A = 68

B = 2A - 24

B = 2*68 - 24

B = 136 - 24

B = 112