self Maths Puzzle Numerical Ability

if two equal chords of a circle intersect ,show that the segments of one arc equal to the segments of the other

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self Other Question

let AB,AC are two equal chords of a circle .show that the angular bisector of angleBAC Passes throughthe centre world+trade=center.. then what is the value of c+e+n+t+e+r??
plz explain the procedure..