SOLUTION: Two angles are supplementary. One angle is 4 degrees less than three times the other. Find the measures of the angles.

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Question 809054: Two angles are supplementary. One angle is 4 degrees less than three times the other. Find the measures of the angles.
Answer by Okeke_Christian(26) About Me  (Show Source):
You can put this solution on YOUR website!
If the two angles are supplementary, it means they add up to 180 degrees.
Let's call them x and y.
If x is 4deg less than 3y, then;
x=3y-4 -------------- eqn(1)
Remember,
x%2By+=+180 --------------- eqn(2)
Substitute (3y-4) for x in eqn. 2
%283y-4%29%2By+=+180
Open brackets:
3y-4%2By+=+180
Collect like terms:
3y%2By=180%2B4
4y=184
Divide both sides by 4, the co-efficient of y:
y=+46
But,
x=3y-4 ------------ eqn(1)
Therefore,
x=3%2846%29-4
x=+134
Therefore,
x=+134%3B+y=+46
[CHECK]
x%2By=180
134%2B46=180

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