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PROVE THAT A NON RECTANGULAR PARALLELOGRAM IS NOT A CYCLIC QUADRILATERAL
If ABCD is a cyclic parallelogram then it
is a rectangle.
Solution : ?A + ?C = 180°
(ABCD is a cyclic quadrilateral) 
Since ?A = ?C
[Opposite angles of a parallelogram]                       


or ?A + ?A = 180°
? 2?A = 180°
? ?A = 90°
Thus ABCD is a rectangle.
That is a non -rectilinear parallelogram is not a cyclic quadrilateral.


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