SOLUTION: Two angles are supplementary and the measure of one of them is 20% less than three times the measure of the other. Find the measure of each angle.

Question 107675: Two angles are supplementary and the measure of one of them is 20% less than three times the measure of the other. Find the measure of each angle.
Found 2 solutions by checkley71, richmusick:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
X+Y=180 OR X=180-Y
X=.2(3Y)
180-Y=.6Y
1.6Y=180
Y=180/1.6
Y=112.5 FOR THE LARGER ANGLE.
X=.2(3*112.5)
X=.2(337.5)
X=67.5 FOR THE SMALLER ANGLE.
PROOF
112.5=67.5=180
180=180
Answer by richmusick(3) (Show Source): You can put this solution on YOUR website!
X+Y=180 OR X=180-Y
X=3Y - .2(3Y)
X=3Y - .6Y
X=2.4Y
2.4Y + Y = 180
3.4Y=180
Y=180/3.4
Y=53� FOR THE SMALLER ANGLE.
X+53�=180�
X=180� - 53�
X=127� FOR THE LARGER ANGLE.
PROOF
Y = 53�
X = 2.4Y
2.4(53) = 127�
53� + 127�=180�

RELATED QUESTIONS
Two angles are supplementary. Find their measures if one of them is 20 less than three... (answered by nerdybill)
Two angles are supplementary. The measure of one angle is 16 less than three times the... (answered by Fombitz)
Two angles are supplementary. The measure of one angle is 20 degrees less than 19 times... (answered by rfer)
Two angles are supplementary. The measure of one angle is 6 less than 20% of the other.... (answered by josgarithmetic)
Two angles are supplementary. One angle is 212 degrees less than three times the other... (answered by rfer)
Two angles are supplementary. One angle is 40� more than three times the other. Find the... (answered by Fombitz)
one of two supplementary angles measure 37 degrees less than four times the other. find... (answered by MathLover1)
the measure of one of two supplementary angles is five less than four times the measure... (answered by cleomenius)
two angles are supplementary. one angle is 3 degrees less than twice the other. Find the... (answered by rfer)