Please, prove that an isosceles trapezium is a cyclic quadrilateral.
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ABCD is a trapezium where non-parallel sides AD and BC are equal. Construction, DM and CN are perpendicular drawn on AB from D and C respectively. Thus, ABCD is a cyclic quadrilateral as sum of the pair of opposite angles is 180°.
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OPPOSITE ANGLES OF A CYCLIC QUADRILATERAL ARE SUPPLEMENTRY
Hence Proved
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