The measure of a supplementary angle is 40 more than 2 times the measure of a complement of the angle. find the measure of the angle.

Two angles are complementary when they add up to 90 degrees

Two angles are supplementary when they add up to 180 degrees

angle = x

supplementary angle = (180-x)

complementary angle = (90-x)

180 - x - 40 = 2 (90-x)

140 - x = 180 - 2x

-x + 2x = 180 - 140

x = 40°