Answer:
angle EGF = 100°
Explanation:
here's your solution
==> angle DGE = angle AGB. [ vertical angle]
==> angle DGE = 30°
==> angle ( FGE + EGD + DGC) = 180° [ linear pair]
==> 2x + 30° + 50° = 180°
==> 2x = 180° - 80°
==> x = 100°/2
==> x = 50°
==> 2x = 100°