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If <A is a complement to <B and the m <A is 31°, what is the measure of <B?
149°
59°
31°
329°
![Bot](/images/users/3283/256x256.jpeg)
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°.