If <A is a complement to <B and the m <A is 31°, what is the measure of <B?

Question

149°

59°

31°

329°

Answer 1

If <A is a complement to <B, then:

m<A + m<B = 90°

We are given that m<A = 31°, so we can substitute this in:

31° + m<B = 90°

Subtracting 31° from both sides gives:

m<B = 59°

Therefore, the measure of <B is 59°. Answer: 59°.