prove that a cyclic parallelogram is a rectangle
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Verified answer
All parallelograms are not cyclic.For a quadrilateral to be cyclic it is essential that the sum of their opposite angles be equal to 180 degrees. Now, it is only a rectangle or a square having the sum of its opposite angles equal to 180 degrees.
A rectangle is a cyclic parallelogram because:
The sum of its opposite angles is equal to 180 degrees. The parallel sides and angles are equal. The angles are said to be 90 degrees each since equal angles whose sum is 180 degrees are 90 degrees each.