asked 7.5k views
4 votes
A and B are supplementary. If m A = 117°, what is the measure of B?

243°
83°
63°
117°

2 Answers

1 vote
the measure of B. would be 63 degrees

i hope i helped

answered
User RjOllos
by
7.9k points
2 votes

Answer: The correct option is (C) 63°.

Step-by-step explanation: Given that two angles A and B are supplementary and m∠A = 117°.

We are to find the measure of angle B.

We know that

two angles are said to be supplementary if the sum of their measures is 180°.

So, for angles A and B, we must have


m\angle A+m\angle B=180^\circ\\\\\Rightarrow 117^\circ+m\angle B=180^\circ\\\\\Rightarrow m\angle B=180^\circ-117^\circ\\\\\Rightarrow m\angle B=63^\circ.

Thus, the measure of angle B is 63°.

Option (C) is correct.

answered
User Rania
by
8.5k points
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