In a circle, chord AB subtends angles at two points C and D on the circumference that lie on the same side of AB. Answer the following.
(i) State the theorem related to the angles subtended by the same chord in the same segment of a circle.
(ii) Using the theorem stated in part (i), give a geometrical explanation for why ∠ACB=∠ADB in the given situation.
(iii) If ∠ACB=52∘, find the value of ∠ADB. Explain briefly how you arrived at your answer.