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∠FOB + ∠BOE = 180° ...(1)| Linear Pair Axiom∠FOA + ∠AOE = 180° ...(2)| Linear Pair AxiomFrom (1) and (2),∠FOB + ∠BOE = ∠FOA + ∠AOE ...(3)But    ∠BOE = ∠AOE| ∵ Ray OE bisects ∠AOB∴ From (3),⇒    ∠FOB = ∠FOA.
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