Two angles are complementary. The calculate of one angle is four times the measure of the other. Evaluate the measure of the larger angle.

a. 36°

b. 72°

c. 144°

d. 18°

b. If two angles are complementary, the addition of the measurement of the angles is 90°. ∠1 is shown by x. ∠2 is represented by 4x. Solve the following equation for x: x + 4x = 90. Simplify; 5x = 90. Divide both sides by 5; x = 18. The larger angle is 4x or 4(18), which same to 72°. If you select a, the original equation was set same to 180 rather than 90 and you solved for the smaller angle. If you select c, the original equation was set same to 180 rather than 90, and you solved for the larger angle. If you select d, you solved the original equation correctly; thus, you solved for the smaller of the two angles.