Your Answer is

Correct Answer is A

Explanation

Because ∠BCE=140°,

so ∠ECD=180°-∠BCE=40°; and because ∠D=80°, so ∠CED=180°- ∠ECD-∠D =60°.

Because ∠FEG and ∠CED are opposite angles, the opposite angles are equal, so ∠FEG=∠CED=60°.

And ∠FGE=180°-100°=80°, so ∠EFG=180°-∠FGE-∠FEG=180°-80°-60°=40°