point for the centre of a circle show that angle AOC is equal to angle AFC + angle AEC
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Now, ∠ABC = ∠ADC.
So, ∠AFC = 2∠ABC = ∠ABC + ∠ADC
= 180° - ∠EBF + 180° - ∠EDF
= 360° - ∠EBF - ∠EDF
= ∠BED + ∠BFD
= ∠AEC + ∠AFC, as required.
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