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°