25.

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

35

70

20

55

1 answer

70

Let x be the measure of the angle. The complement of the angle is 90 - x, and the supplement of the angle is 180 - x.

From the given information, we have:

(90 - x) + (180 - x) = 200
270 - 2x = 200
-2x = -70
x = 35

Therefore, the measure of the angle is 35 degrees.