Question

The complement of an angle is one-sixth the measure of the supplement of the angle. What is the measure of the complement angle?

Answer 1

Answer:

The complement of the angle is 18 degrees  (the angle is 72 degrees)

Step-by-step explanation:

x= angle in first sentence

complement of x is one-sixth of the supplement of x

=> 90-x = (180-x)/6

=> 540-6x=180-x

=> 5x=540-180=360

=>x=72

The complement of x is 90-72 = 18