the supplement of an angle is half the measure of an angle

Question

The supplement of an angle is the half the measure of angle 

Answer 1

Let x = the angle

 

180 - x = its supplement since supplementary angles add up to 180 degrees.

 

180 - x = 1/2 x

 

2(180 - x) = 2(1/2) x

 

360 - 2x = x

 

360 = 3x

 

120 = x

 

The angle is 120 degrees, and its supplement is 60 degrees.