Question

Angle A and Angle B are supplementary angles. The ratio of the measure of Angle A to the measure of Angle B is 5:4. Find the measures of Angle A and Angle B.

Measure of Angle A =

degrees.



Measure of Angle B =

degrees.

Answer 1

Angle A = 100°

Angle B = 80°

Explanation:

Supplementary angles sum 180°

Angle A to Angle B ratio is 5:4, you can write that ratio using a factor.

Angle A = 5x

Angle B = 4x

Since the sum is 180°

Angle A + Angle B = 180°

5x + 4x = 180°

9x = 180°

x = 20°

Replacing x = 20°

Angle A = 5(20°) = 100°

Angle B = 4(20°) 80°