Two complementary angles are such that twice the measure of the one is equal to three times the measure of the other. The larger of the two measures

Question

Philoid · Accepted Answer

As we know that sum of two complementary – angles is 90^o.

So, x + y = 90^o

Let x be the common multiple.

According to question angles would be 2x and 3x.

2x + 3x= 90

5x = 90^o

x = 18^o

2x = 36^o

3x = 54^o

So, larger angle is 54^o