SOLUTION: the measure of the supplement of an angle is 40 more than two times the measure of the complement of the angle. find the measure of the angle.

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Question 897897: the measure of the supplement of an angle is 40 more than two times the measure of the complement of the angle. find the measure of the angle.
Found 2 solutions by ewatrrr, MathTherapy:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
180-x = 2x + 40
140 = 3x, x = 46 2/3 and it's supplement is 133 1/3 degrees
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
the measure of the supplement of an angle is 40 more than two times the measure of the complement of the angle. find the measure of the angle.


Let angle's measurement be A

Then its supplement is:   180 - A

Also, its complement is:   90 - A

Therefore, 180 - A = 2(90 - A) + 40

           180 - A = 180 - 2A + 40

          - A + 2A = 180 + 40 - 180 

A, or measure of angle = 

You can do the check!! 



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