Answer :

(i)


ABC is equilateral triangle.


ABC = ACB = BAC = 60°____________________ (i)


BDC = BAC = 60°[Angles in the same segment of a circle are equal]


(ii)


ABCD is a cyclic quadrilateral


BAC + BEC = 180°


60° + BEC = 180°


BEC = 120°


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