Prove that any rectangle is a cyclic quadrilateral.

In the adjoining figure, seg YZ and seg XT are altitudes of triangle WXY which intersect each other at point P. Prove that square WZPT is a cyclic quadrilateral.

The quadrilateral formed by angle bisectors of a cyclic quadrilateral is also cyclic.

In the figure square ABCD is a cyclic quadrilateral.Seg AB is a diameter. If angleADC=120^@ , find the measure of angleBAC .

If A ,B ,C ,D are angles of a cyclic quadrilateral, then prove that cos A+cos B+cos C+cos D=0

In the given figure, square PQRS is a cyclic quadrilateral such that anglePQR=50^@ then anglePSR = (a) 50^@ (b) 100^@ (c) 120^@ (d) 130^@

In the adjoining figure, square PQRS is a cyclic quadrilateral. side PQ~=side RQ./_PSR=110^@ . Find m(arc PQR)

In the adjoining figure, square PQRS is a cyclic quadrilateral. side PQ~=side RQ./_PSR=110^@ .Find (i) /_PQR

In the adjoining figure, square PQRS is a cyclic quadrilateral. side PQ~=side RQ./_PSR=110^@ . Find /_PRQ

Prove that the opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centres of the circle.

If two adjacent sides of a cyclic quadrilateral aré 2 and 5 and the angle between them is 60°. If the third side is 3, then the remaining fourth side is