Find an angle

Question

The sum of twice an angle and half its supplement is 204. Find the measure of the angle

Answer 1

let the angle = x

the supplement = 180 - x

 

2x + 1/2 * (180 - x) = 204

2x + 90 - (x/2) = 204

4x + 180 - x = 408

3x + 180 = 408

3x = 228

x = 76 degrees