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?

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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) About Me  (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