Question

Angle A, angle B, and angle C are complementary angles. The measure of angle A is 24 degrees. The measure of angle B is unknown, and the measure of angle C is twice the measure of angle A. The measure of angle B is degrees, and the measure of angle C is degrees.

Answer 1

Answer: B = 18 degrees

C = 48 degrees

Step-by-step explanation:

Complimentary angles are angles whose sum is 90 degrees.

Angle A, angle B, and angle C are complementary angles. This means that

A + B + C = 90- - - - - - - - - - - - -1

The measure of angle C is twice the measure of angle A. If the measure of angle A is 24 degrees, it means that the measure of angle C would be 2 × 24 = 48 degrees.

Substituting A = 24 and C = 48 into equation 1, it becomes

24 + B + 48 = 90

72 + B = 90

B = 90 - 72

B = 18 degrees