Angles DEF and FEG both occur on a straight line and are therefore altogether equal to 180 degrees. Thus, FEG equals
180 - DEF = 180 - 103 = 77 degrees.
FEG = 77 deg
Angle HEG also occurs on a straight line with FEG and both are therefore altogether equal to 180 degrees.
HEG = 180 - 77 = 103 degrees
HEG = 103 degrees
Option D is your answer