Question 466371
Let x = original angle
The compliment of x:  (90-x)
The supplement of x:  (180-x)

Given:
2(90-x) = (180-x) - (90-x) + 16

****Now solve for x.
180-2x = (180-x) - (90-x) + 16...............Distribute 2 on lefthand side.
180-2x  = 180 - x - 90 + x + 16...........Distribute "-" on righthand side. 
180 - 180 + 90 - 16 = 2x - x + x......Combine like terms to opposite sides.
74 = 2x....................................Reduce like terms on both sides.
37 = x...............................Divide both sides by 2 to solve for x.

****Now check to see if it is correct.
2(90-37) =?= (180-37) - (90-37) + 16
2(53) =?= (143) - (53) + 16
106 =?= 90 + 16
106 = 106
Correct! It check's out!