The measure of a supplement of an angle is 40 more than two times the measure of the complement of the angle. find the measure of the angle

2 angle A and B are Complementary means that the sum of their measures is 90°.

2 angle A and B are Supplementary means that the sum of their measures is 180°.

Thus, if the measure of angle A is x:

the measure of the supplement is 180°-x

the measure of the complement is 90°-x

"The measure of a supplement of an angle is 40 more than two times the measure of the complement of the angle. "

let the measure of the angle be x, then we have:

180°-x=40°+2 (90°-x)

180°-x=40°+180°-2x

2x-x=40°

x=40°

Answer: 40°