SOLUTION: find the measure of an angle such that the sum of the measures of its compliment and it supplement is 230 degrees. The angle measures?

Question 428574: find the measure of an angle such that the sum of the measures of its compliment and it supplement is 230 degrees. The angle measures?

Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Let A = the angle we want to find
Given: The complement of A + the supplement of A = 230
Since an angle plus its complement equals 90 degrees, the complement of A is 90 - A.
And since an angle plus its supplement = 180, the supplement of A is 180 - A.
So we need to solve the following equation for A:
(90 - A) + (180 - A) = 230
This gives 270 - 2A = 230 -> A = 20 degrees.
Check:
The complement is 70 degrees, and the supplement is 160 degrees.
160 + 70 = 230
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