Question

If angleA and angleB are supplementary angles, and angleA = 63°, find the measure of angleB. A. B = 27° B. B = 63° C. B = 117° D. B = 153°

Answer 1

C. B = 117° because 63°+117°=180°

Answer 2

Answer: C. B=117°.

Explanation:

We know that if a pair of angle are supplementary then their sum is added up to 180 degrees.

Given : angle A and angle B are supplementary angles.

i.e
`\angle{A}+\angle{B}=180^(\circ)`

Also, angle A = 63°

i.e
`63^(\circ)+\angle{B}=180^(\circ)`

i.e
`\angle{B}=180^(\circ)-63^(\circ)`

i.e
`\angl{B}=117^(\circ)`

Hence, the measure of angleB is 117°.