AB, BC and CD are the three consecutive sides of a regular polygon. If ∠BAC = 15°; find,

(i) each interior angle of the polygon.

(ii) each exterior angle of the polygon.

(iii) number of sides of the polygon.

The ratio between an exterior angle and an interior angle of a regular polygon is 2 : 3. Find the number of sides in the polygon.

If the diagonals of a square ABCD intersect each other at point O, the triangle OAB is :

1. an equilateral triangle.

2. a right-angled but not an isosceles triangle.

3. an isosceles but not a right-angled triangle.

4. an isosceles right-angled triangle.

A quadrilateral in which the diagonals are equal and bisect each other at right angles is a :

1. rectangle which is not a square.

2. rhombus which is not a square.

3. square.

4. kite which is not a square.