Question

Please help me in this geometry question (if you answer is Radom you will get reported)

Answer 1

I think its B,D F,D and C,A. Hope I helped.

Answer 2

∠IBD = ∠IDB, if and only if I is the centre of the circle.
The two sides will form the radius, meaning these two angles are equal.

∠BID = ∠FID are equal (opposite angles of a straight line)

∠IDF = ∠IDB (line from the centre bisects the angle; we can also prove this)