SOLUTION: Angle A is one fourth as large as its supplement, angle B. Find the measurement of each angle

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Question 223358: Angle A is one fourth as large as its supplement, angle B. Find the measurement of each angle
Found 2 solutions by rfer, MathTherapy:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
180/4=45 degrees
3*45=135 degrees

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
Angle A is one fourth as large as its supplement, angle B. Find the measurement of each angle

Since angle A is 1%2F4 the measure of angle B, its supplement, then we'll have: A+=+%281%2F4%29%2A%28180+-+A%29

4A = 180 - A ------ Multiplying each side of equation by LCD, 4

5A = 180

A = 180%2F5+=+36%5Eo

Therefore, the measure of the angle, or A is: highlight_green%2836%5Eo%29 while the measure of its supplement is highlight_green%28144%5Eo%29+%7B%7B%7B%28180%5Eo+-+36%5Eo
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Check
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Measure of the angle's supplement: 144%5Eo

Measure of the angle: 36%5Eo

Angle, 36%5Eo is 1%2F4 of its supplement, or 144%5Eo

%281%2F4%29%2A144+=+36%5Eo (TRUE)