In the given figure, O is the centre of the circle and AB is a diameter. If AC = BD and ∠AOC = 72°, find:

(i) ∠ABC

(ii) ∠BAD

(iii) ∠ABD

In the given figure, A, C, B, D are points on the circle with centre O. Given ∠ABC = 62°. Find :

(i) ∠ADC

(ii) ∠CAB

The angle subtended by an arc of a circle at any point on the remaining part of the circle is of the angle subtended by it at the centre.

1. double

2. half

3. equal

4. triple

The sum of the opposite angles of a cyclic quadrilateral is :

1. 90°

2. 150°

3. 180°

4. 360°