SOLUTION: the measures of two supplementary (=180) angles are in a ratio 3:15. what are the measures of the angles?

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Question 350270: the measures of two supplementary (=180) angles are in a ratio 3:15. what are the measures of the angles?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
Let x be one of the angles, (180 - x) the other
.
Set up the proportion
3%2F15+=+%28x%2F%28180-x%29%29
.
cross multiply to solve
15*x = 3*(180-x)
.
simplify and solve
15x = 540 - 3x
18x = 540
x = 30degrees
Supplement is 150degrees
.
check your answer
3/15 = 30/150