Question

The sum of the measures of a complement and a supplement of an angle is 200. What is the measure of the angle?

A. 70

B. 55

C. 20

D. 35

Answer 1

Lets call this angle x.
Then 90-x is the compliment.
Ergo, 180-x is the supplement.

The problem states (90-x) + ((180-x)=200. Next step is to solve that equation.
90 -x + 180 - x=200
-2x + 270 = 200
-2x = -70
x = 35
The supplement of 35 is 145
The compliment of 35 is 55
and sure enought 145 + 55 = 200 answer thus verified.

Answer 2

This problem is testing if you know the definitions of supplementary and complementary angles and if you can do a little algebra.