The sides of a quadrilateral are 3, 4, 5 and 6 cms. The sum of a pair of opposite angles is `120^0. `Show that the area of the quadrilateral is `3sqrt(30)` sq.cm.

The angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6. The largest of these angles is

If the sides of a quadrilateral touch a circle, prove that the sum of a pair of opposite sides is equal to the sum of the other pair.

The angles of a quadrilateral are in the ratio 3:4:5:6 . The smallest of these angles is

If the sum of any pair of opposite angles of a quadrilateral is 180^(@) ; then the quadrilateral is cyclic.

The lengths of two adjacent sides of a cyclic quadrilateral are 2 units and 5 units and the angle between them is 60^(@) . If the area of the quadrilateral is 4sqrt(3) sq. units, then the perimeter of the quadrilateral is

If a quadrilateral has art inscribed circle, then the sum of a pair of opposite sides equals

ABCD is a quadrilateral in which AB = 5 cm, CD = 8 cm and the sum of angle A and angle D is 180°. What is the name of this quadrilateral?

Theorem 10.12 : If the sum of a pair of opposite angles of a quadrilateral is 180º, the quadrilateral is cyclic.