In cyclic quadrilateral ABCD, it is given that ∠ABC=∠ADC.
a. (i) Prove that chords AD and BC subtend equal angles at every point of the circumference on the same segment.
b. (ii) Deduce that AD=BC.
c. (iii) If the common angle measure in part (i) is 65∘, determine ∠BAD and ∠BCD and justify your answer.