Two angles, Angle A and Angle B are supplementary to one another. If the measure of B is 30 degrees more than the measure of A,

Question

Oksi-84 [34.3K]

3 years ago

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Two angles, Angle A and Angle B are supplementary to one another. If the measure of B is 30 degrees more than the measure of A,

find the measure of both angles.

Mathematics

1 answer:

iVinArrow [24] · Answer 1 · 2022-08-24T00:21:18+03:00

Answer:

m<A = 75 and m<B = 105.

Step-by-step explanation:

To find the two angles, we first take 180 (because supplementary angles are two angles that add up to 180) and we divide it by 2 to get 90. Then we take 30 degrees and divide that by 2 to get 15. You add 15 degrees to measure B and subtract 15 degrees to measure A. So then you get m<A = 90 - 15 = 75 and m<B = 90 + 15 = 105.