Question

What is the measure of an angle whose complement and supplement equal 200?

Answer 1

Answer:

35⁰

Step-by-step explanation:

Angle = x

Supplement = 180 - x

Complement = 90 - x

Given:

180 - x + 90 - x = 200

2x = 70

x = 35⁰

Answer 2

The complement is 90-n and the supplement is 180-n.  If I understand your wording properly, we now know that 90-n + (180-n) = 200.

-2n + 90 + 180 = 200.  Solve for n:  270-200 = 2n, so n = 35 degrees.