Answer: 115
Step-by-step explanation:
Arcs GQ and QE are given as 74 and 56 respectively.
They add to 74+56 = 130 degrees.
The remaining portion of the circle is 360-130 = 230 degrees. This is the measure of arc GFE.
Divide this in half to get 230/2 = 115 which is the measure of inscribed angle GQE.
For more information, search out "inscribed angle theorem".