ABCD is cyclic quadrilateral in which AB and CD when produced meet in E and EA = ED. Prove that (i) AD || BC (ii) EB=EC

ABCD is a cyclic quadrilateral in which BA and CD when produced meet in E and EA = Ed. Prove that AD ||BC

ABCD is a cyclic quadrilateral in which BA and CD when produced meet in E and EA = Ed. Prove that EB = EC

ABCD is a cyclic quadrilateral in which BA and CD when produced meet in E and EA=ED. Prove that: ADBC( ii) EB=EC

ABCD is a cyclic quadrilateral in which AB and DC on being produced , meet at P such that PA = PD. Prove that AD is parallel to BC .

A B C D is a cyclic quadrilateral. A Ba n dD C are produced to meet in Edot Prove that E BC ~EDAdot

If ABCD is a quadrilateral in which AB|CD and AD=BC, prove that /_A=/_B.

ABCD is cyclic quadrilateral. Sides AB and DC, when produced , meet at E and sides BC and AD, when produced, meet at F. If /_ BFA= 60^(@) and /_ AED =30^(@) , then the measure of /_ ABC is :

ABCD is a cyclic quadrilateral. The two sides AB and CD are produced to meet in the point P and other two sides AD and BC are produced to meet in the point R . The two circumcircle of DeltaBCPandDeltaCDR intersect at the point T . Prove that points P , T , R are collinear.

In the given figure,ABCD is a quadrilateral in which AB|DC and P is the midpoint of BC. On producing,AP and DC meet at Q. Prove that (i) AB=CQ, (ii) DQ=DC+AB