SOLUTION: the supplement of an angle is 10 less than three times its complement. what is the measure of the angle?

Question 716555: the supplement of an angle is 10 less than three times its complement. what is the measure of the angle?
Found 2 solutions by lynnlo, MathTherapy:
Answer by lynnlo(4176) (Show Source): You can put this solution on YOUR website!
3X-10+A(ANGLE)=180
X+ANGLE =90;ANGLE =90-X
SUBSTITUTE INTO EQUATION 1
3X-10+90-X=180
SUBTRACT 10-90=80
2X+80==180
SUBTRACT 80-180=100
2X=100
X=200===========COMPLEMENT
90-200=110======ANGLE
3(200)-10=590===SUPPLEMENT
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
the supplement of an angle is 10 less than three times its complement. what is the measure of the angle?

Let the angle's measure be A

Then its supplement is 180 - A, and its complement is: 90 - A

Therefore, 180 - A = 3(90 - A) - 10

180 - A = 270 - 3A - 10

- A + 3A = 270 - 10 - 180

2A = 80

A, or measure of angle = , or

You can do the check

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