Two complementary angles are such that two times the measure of one is equal to three times the measure of the other. The measure of the smaller angle is

Question

Philoid · Accepted Answer

Let x and (90^o – x) be two complimentary angles

According to question,

2x = 3 (90^o – x)

2x = 270^o – 3x

x = 54^o

The angles are:

54^o and 90^o – 54^o = 36^o

Thus, smallest angle is 36^o