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ABCD is a cyclic quadrilateral. Sides AB and DC produced meet at point E; whereas sides BC and AD produced meet at point F.

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ABCD is a cyclic quadrilateral. Sides AB and DC produced meet at point E; whereas sides BC and AD produced meet at point F.

If ∠DCF : ∠F : ∠E = 3 : 5 : 4, Find the angles of the cyclic quadrilateral ABCD.

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Given – In a circle, ABCD is a cyclic quadrilateral AB and DC

Are produced to meet at E and BC and AD are produced to meet at F.

[since sum of opposite of a cyclic quadrilateral are supplementary]

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