An angle is 4 times the size of its compliment. What would be the degree measure of that angle's supplement be?

Question

Please explain all evidence 

Answer 1

Complementary angles sum to 90^o.  If an angle, x, is 4 times its complement, then:

 

x = 4(90^o-x)

x = 360^o - 4x

5x = 360^o

x = 72^o

 

Supplementary angles sum to 180^o.  The supplementary angle of 72^o is:

 

180^o - 72^o = 108^o