In the given figure, AE = DE and BC || A...

In the given figure, AE = DE and BC || AD. Prove that the points A,B,C and D are concyclic. Also, prove that the diagonals of the quadrilateral ABCD are equal.

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AE=DE
`angleA=angleD`
BC||AD
`angleECB=angleA`
`angleECB=angleEBC`
EB=EC
`angleB+angleD=180^o`
`angleA+angleC=180^o`
...

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