Let's solve this using triangles.
The first thing that you should know to solve this problem is that angles CIK and AGI are the some so they are both 95 degrees, We also should know that EGF = AGI, so the angle for AGI is 95 degrees. Now that we know this Lets use angle BFH which we know =32 degrees and we know that BFH=EFG so EFG is 32 degrees. We know that the insides of all triangles = 180 so to solve for the angle of FEG all we have to do is 180-32-95=53
So the angle of FEG is 53 degrees