The measure of the supplementary of an angle is 40 more than 2 times the measure of the complement of an angle. Find he measure of the angle.

Respuesta :

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°