Algebra Word Problem

Question

The complement of an angle measures 10 degrees less than one-fifth of its supplement. Find the measure of the angle. 

Answer 1

let angle be x

90-x is complement

180-x is supplement

90-x = (180-x)/5 - 10

100-x = 36 - x/5

64 = 4x/5

x = 80

complement is 10

supplement is 100