Prove the theorem which states that EFG = EDF.

Here are the solutions to the geometry problems.

QUESTION 12

12.1 Prove the theorem which states that $\angle EFG = \angle EDF$.

The statement "$\angle EFG = \angle EDF$" is generally not true for an arbitrary cyclic quadrilateral. It is highly probable that there is a typo in the question and it intends to ask for the proof of the theorem "angles in the same segment are equal", for example, $\angle EDG = \angle EFG$ (angles subtended by arc EG). We will provide the proof for the theorem "angles in the same segment are equal" using the angles $\angle EDG$ and $\angle EFG$ as an example.

Theorem: Angles subtended by the same arc at the circumference of a