Angle A & Angle B are supplementary. The measure of angle B is 3x the measure of angle A. Find angle A & angle B. How?

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Mathematics

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30 June, 19:23

Angle A & Angle B are supplementary. The measure of angle B is 3x the measure of angle A. Find angle A & angle B. How?

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Answers (1)

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Naomi Oneill · Answer 1

If the angles are supplementary, then you know that

they add up to 180 degrees.

A = 1 time A

B = 3 times A

Total: (1 time A + 3 times A) = 4 times A

4 times A = 180 degrees

Divide each side by 4:

1 time A = 180/4 = 45 degrees

A = 45 degrees

B = 3 times A = 135 degrees