Cyclic quadrilateral:
If all the four vertices of a quadrilateral, as in the figure
below, lie on a circle, then such a quadrilateral is called a cyclic
quadrilateral ..
Properties:
1) The opposite angles of a cyclic quadrilateral are supplementary
Or
The sum of either pair of opposite angles of a cyclic quadrilateral are supplementary.
2)
If one side of a cyclic quadrilateral be produced, then the exterior angle will be equal to the opposite interior angle .
3)
If the sum of any pair of opposite angles of a quadrilateral is
180^0, then the quadrilateral is cyclic
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