the opposite angles of a cyclic quadrilateral are supplementary with drawing
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Similarly, ∠B and ∠D can be shown to be supplementary. Now, let us prove the converse theorem. Theorem: If the sum of a pair of opposite angles of a quadrilateral is 180^0, the quadrilateral is cyclic. Thus, ∠BED=∠C ∠ B E D = ∠ C .
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