SOLUTION: If the ratio of the complement to the supplement is 4:13 then what is measurement of the original angle?
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Question 260911: If the ratio of the complement to the supplement is 4:13 then what is measurement of the original angle?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let the original angle be A, then its complement is (90-A) and its supplement is (180-A), so from the problem, you can write the proportion:
Cross-multiply.
Simplify and solve for A
Add 13A to both sides.
Subtract 720 from both sides.
Divide both sides by 9.
The original angle is 50 degrees(?).
Check:
OK!
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