SOLUTION: the supplement of an angle is 30 degrees less than twice the measure of the angle itself. find the angle and its supplement.

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Question 345249: the supplement of an angle is 30 degrees less than twice the measure of the angle itself. find the angle and its supplement.
Found 2 solutions by checkley77, MathTherapy:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X+(X-30)=180
2X=180+30
2X=210
X=210/2
X=105 DEGREES FOR THE LARGER ANGLE.
105-30=75 DEGREES FOR THE SMALLER ANGLE.
PROOF:
105+75=180
180=180

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
the supplement of an angle is 30 degrees less than twice the measure of the angle itself. find the angle and its supplement.

Let the angle be A, then its supplement = (180 - A)

Now, since the supplement is 30 degrees less than twice the measure of the angle itself, then we'll have:

180 - A = 2A - 30

-3A = - 210

A, or the angle = %28-210%29%2F-3 = highlight_green%2870%5Eo%29

Its supplement, (180 - A) = 180 - 70 = highlight_green%28110%5Eo%29