SOLUTION: One angle is four times as large as its supplement. What is the measure of the smaller angle

Question 613294: One angle is four times as large as its supplement. What is the measure of the smaller angle
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
One angle is four times as large as its supplement. What is the measure of the smaller angle
.
Let x = angle
180-x = supplement of angle
.
From: "One angle is four times as large as its supplement."
x = 4(180-x)
x = 720-4x
5x = 720
x = 720/5
x = 144
.
Supplement:
180-x = 180-144 = 36 degrees (answer)
RELATED QUESTIONS
One angle is four times as large as its supplement. What is the measure of the smaller... (answered by llorton)

what is the measure of an angle that is one fourth as large as its... (answered by drj)

A supplement of an angle is four times as large as the angle find the measure of the... (answered by rfer,stanbon)

a supplement of an angle is four times as large as the angle. Find the measure of the... (answered by cleomenius)

Find the measure of an angle whose supplement is five times as large as its... (answered by cleomenius)

an angle is 5 times as large as its commplement what is the measure of the smaller angle... (answered by ReadingBoosters)

What is the measure of an angle is its supplement is three times as large as it... (answered by barunjha)

what is the measure of an angle that is twice as large as its... (answered by EMStelley)

an angle is four times as large as its complement.find the degree measure of each angle (answered by Fombitz)