Answer:
[tex]68^\circ[/tex]
Step-by-step explanation:
FGD is congruent to CGE because they are vertical angles.
Because AB is a line and AGC makes a right angle, then CGB is also a right angle. Thus [tex]\angle{EGB} = \angle{CGB}-\angle{CGE}[/tex], or [tex]\angle{GCE} = 68^\circ[/tex]
