In the given figure, O is the centre of the circle and ∠BDC = 36°. The measure of ∠ACB is :

1. 36°

2. 54°

3. 72°

4. 46°

ABCD is a cyclic quadrilateral such that AC is a diameter of the circle. If ∠BAC = 58° and ∠DAC = 65°, then ∠BCD is equal to :

1. 57°

2. 123°

3. 90°

4. 60°

The angle formed in a major segment of a circle is :

1. an acute angle

2. an obtuse angle

3. a right angle

4. either an acute or an obtuse angle

An equilateral triangle ABC is inscribed in a circle with centre O. The measure of ∠BOC is :

1. 120°

2. 60°

3. 90°

4. 30°