SOLUTION: The supplement of an angle is 100 less than three times that original angle. Find the original angle: _, its supplement: _, and its complement: _.

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Question 370953: The supplement of an angle is 100 less than three times that original angle. Find the original angle: _, its supplement: _, and its complement: _.
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!

Let x be the angle, the supplement of x is (180-x), and the complement of x is (90-x)

Then we have:

%28180-x%29%2B100=3x

280-x=3x

280=4x

x=70

So the original angle is 70, thus we have:

Supplement: 180-70=110

Complement: 90-70=20

Therefore, the angle is 70, its supplement is 110, and its complement is 20.

I hope this helps!