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.

Angle A = 100°

Angle B = 80°

Step-by-step 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°

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.