SOLUTION: the measure of the supplement of an angle is 20 degrees more than 3 times the measure of the original angle. find the measures of the angles. please help, thank you.

Question 152777: the measure of the supplement of an angle is 20 degrees more than 3 times the measure of the original angle. find the measures of the angles. please help, thank you.
Answer by orca(409) (Show Source): You can put this solution on YOUR website!
Let x be the measure of riginal angle, then the measure of the supplement is 3x + 20.
We can set up an equation using the fact that the sum of an angle and its supplement is 180.
So x + (3x + 20) = 180
Solving the equation for x, we have
x + 3x + 20 = 180
4x = 160
x = 40
So the measures of the angles are 40 and (180 - 40 =) 140 degrees.

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