A circle has a fixed chord AB. Points C and D lie on the circumference on the same side of AB.
a. (i) State the relation between the angles subtended by a chord at any two points on the same segment of a circle.
b. (ii) Using the result of part (i), show that ∠ACB=∠ADB.
c. (iii) If ∠ACB=58∘, calculate the measure of ∠ADB. The construction and reasoning steps must be clearly explained.