Question

In a pair of complementary angles, the measure of the larger angle is twice that of the smaller

angle. What is the measure of the larger angle?
A 30°
B 60°
C 90°
D 120°

Answer 1

Explanation:

Supplementary angles sum to 90. We are told the larger angle is twice the smaller.

L=2S, S=L/2

S+L=90, using S=L/2 we have

L/2+L=90

(3L)/2=90

3L=180

L=60

Answer 2

D. 120°

Explanation:

Complementary angles have a sum of 180 and since its twice the measure of the smaller one so the smaller one would have to be 60 in order for the bigger one to be 120 because you then add your two angles and it should make 180