Answer :

BD = CD


CBD = BCD = 30°


In triangle BCD,


BDC + BCD + CBD = 180°[Sum of angles of triangle]


BDC + 30° + 30° = 180°


BDC + 60° = 180°


BDC = 120°


Now,


BDC + BAC = 180°[ABCD is a cyclic quadrilateral]


120° + BAC = 180°


BAC = 60°


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