In the diagram below of triangle EFGEFG, HH is the midpoint of \overline{EG}EG and II is the midpoint of \overline{FG}FG . If m\angle GFE=129-9x∠GFE=129−9x, and m\angle GIH=4x+12∠GIH=4x+12, what is the measure of \angle GIH∠GIH?
Angle GIH = 34 degrees.