< A and <B are complementary angles. If <A is 5 times the measure of <B, what is the measure of <A?

Answer 1

Complementary angles measures add up to 90 degrees

so m<A + m<B = 90

We are given that m<A = 5*m<B, so substituting:

5*m<B + m<B = 90

m<B = 15

substituting for m<B in the first equation:

m<A + 15 = 90

m<A = 75