Angles g and h are complementary. if m< g =3x +6 and m< h=2x-11, what is the measure of each angle?

Short  63 and 27
Comment
complementary means that all angles that are given must add up to 90 degrees to be called complimentary.

Equation 
<G + <H = 90

Substitute and Solve
3x + 6 + 2x - 11 = 90 Collect like terms on the left.
5x  - 5 = 90                Add 5 to both sides.
5x = 95                      Divide by 5
x = 95 / 5
x = 19

One angle is 3(19) + 6 = 57 + 6 = 63
The other angle is 2(19) - 11   =    27 

Are they complementary?
Yes 63 + 27 = 90