Question
Prove that, any rectangle is a cyclic quadrilateral.

Answer



In ABCD,
∠A = 90°{∵ angle of a rectangle is 90°.}
∠C = 90° {opposite angles are equals}
⇒∠ A + ∠ C = 180°
If opposite angles are supplementary, the quadrilateral is cyclic.
∴ ABCD is cyclic.

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