A,B,C are three points on a circle such that the angle substended by the chords AB and AC at the centre are 80 and 120 degree respectively. Determine ∠BAC and the degree measure of arc BPC.

A,B,C are three points on a circle such that the angle substended by the chords AB and AC at the centre are 80 and 120 degree respectively. Determine $∠ B A C$ and the degree measure of arc BPC.

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