a) 100 degrees
b) 50 degrees
c) 65 degrees
d) 30 degrees

Answer:
a) 100 degrees
Step-by-step explanation:
EFG + EGD + DGC = 180 since the form a straight line
EGD = 30 since it is a vertical angle to AGB = 30
DGC = 50
Substitute these values in
EFG +30 + 50 = 180
Combine like terms
EFG +80 = 180
Subtract 80 from each side
EFG +80-80 = 180-80
EFG =100