SOLUTION: how do you find two supplement angles in the ratio of7:5?

Question 120571: how do you find two supplement angles in the ratio of7:5?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
I think you meant to say 'supplemental' angles.

Supplemental angles are angles whose measures sum to either 180 degrees or , depending on the measurement system you are using. Let's use 180 degrees for this example.

If the measure of one of the angles is x degrees, then the measure of the other angle must be 180 - x degrees. And we know that these two angles are in the ratio of 7:5. So we can write:

Since we have created a proportion, we can cross multiply and solve:

.

So 75 degrees is the measure of one of the angles, and the other angle must then be 180 - 75 = 105.

Check the answer:
Reduce the fraction to lowest terms.

, answer checks.
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