ABCD is a parallelogram. The sides AB and AD are produced to E and F respectively such that AB = BE and AD = DF. Prove that △BEC ≅ △DCF.

The perpendicular bisectors of the sides of a △ABC meet at I. Prove that : IA = IB = IC.

In a △ABC, BC = AC and ∠B = 64°, find ∠C.

In each of the following figures, find the value of x :

(i)

(ii)

(iii)