Answer:
Option C is correct.
Explanation:
We need to find which angle is inscribed in figure.
An angle inscribed in figure means it should be in interior of the angle and also all points of the angle should be on figure that is circle.
Option A).
∠BCD is in exterior of the circle.
Thus, this is not correct.
Option B).
∠BED is in interior of the circle but vertex E is not on circle.
Thus, this is not correct.
Option C).
∠GFD is in interior of the circle and all vertex are on circle.
Thus, this is correct.
Option D).
∠DEI is in interior of the circle but vertex E is not on circle.
Thus, this is not correct.
Therefore, Option C is correct.