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In ∆ODF and ∆OBE, we have:
OD = OB (Diagonals bisects each other)
∠DOF = ∠BOE (Vertically opposite angles)
∠FDO = ∠OBE (Alternate interior angles)
i.e., ∆ODF ≅ ∆OBE
∴ OF = OE (CPCT)
Hence, proved
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