SOLUTION: The supplementary angle is 40 more than 4 times of a complementary angle. What is the complementary angle measure?

Algebra ->  Angles -> SOLUTION: The supplementary angle is 40 more than 4 times of a complementary angle. What is the complementary angle measure?      Log On


   

Question 549459: The supplementary angle is 40 more than 4 times of a complementary angle. What is the complementary angle measure?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let angle be x
complementary = 90-x
supplementary = 180-x
180-x = 4(90-x)+40
180-x=360-4x+40
4x-x=360+40-180
3x=220
x=73.33
90-73.33 = 16.67 is the complementary angle