In a circle, points A,B,C, and D are taken in that order on the circumference. Chord AC is drawn, and points B and D lie in the same segment with respect to chord AC.
a. (i) If ∠ABC=3x∘ and ∠ADC=(x+60)∘, find x.
b. (ii) Given that ∠BAD=52∘, calculate ∠BCD.