Prove that a cyclic parallelogram is a rectangle.<p></p>

Given,ABCDis a cyclic parallelogram.To prove,ABCDis a rectangle.Proof:∠1+∠2=180°...Opposite angles of a cyclic parallelogramAlso, Opposite angles of a cyclic parallelogram are equal.Thus,∠1=∠2⇒∠1+∠1=180°⇒∠1=90°One of the interior angle of the parallelogram is right angled. Thus,ABCDis a rectangle.

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Question:

Prove that a cyclic parallelogram is a rectangle.

Solution: