Question

The supplement of an angle is 60 degrees less than twice the supplement of the complement of the angle. Find the measure of the compliment

Answer 1

Answer:

70 degrees.

Step-by-step explanation:

Let the angle be x then:

Its supplement is 180-x.

Its complement = 90 - x.

The supplement of the complement = (180 - (90 - x) = 90 + x.

So we have the equation:

180 - x = 2(90 + x)  - 60.

180 - x = 180 + 2x - 60

- x - 2x = 180 - 180 - 60

-3x = -60

x = 20 degrees

So the measure of the complement = 90 - 20 = 70 degrees.