SOLUTION: Two angles are supplementary. One angle is 15� more than three times the other angle. Find the measures of the angles. Let x and y represent the angles

Question 263363: Two angles are supplementary. One angle is 15� more than three times the other angle. Find the measures of the angles. Let x and y represent the angles
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Two angles are supplementary. One angle is 15� more than three times the other angle. Find the measures of the angles. Let x and y represent the angles
.
If two angles are supplementary, the sum of the two angles equals 180 degrees.
.
Let x = one angle
and y = second angle
.
x+y = 180 (equation 1)
x = 3y+15 (equation 2)
.
Substitute the definition of x from eq 2 into eq 1:
x+y = 180
3y+15+y = 180
4y+15 = 180
4y = 165
y = 41.25 degrees
.
Other angle:
x+y = 180
x+41.25 = 180
x = 180-41.25
x = 138.75 degrees
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