SOLUTION: The ratio of the measurement of an angle to its supplement is 3: 5. Find the measurement of the angle and its supplement.

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Question 1137444: The ratio of the measurement of an angle to its supplement is 3: 5. Find the measurement of the angle and its
supplement.
Answer by greenestamps(13200) About Me  (Show Source):
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Given the ratio 3:5, let the two angles have measures 3x and 5x.

Since the two angles are supplementary, their sum is 180 degrees:

3x%2B5x+=+180
8x+=+180
x+=+22.5

The angle is 3x = 67.5 degrees; its supplement is 5x = 112.5 degrees.