Answer :

(i)


ABD and ACD are in the segment AD.


ACD = ABD [Angles in the same segment of a circle]


ACD = 54°


(ii) BAD = 43°


BAD and BCD are in the segment BD.


BAD = BCD [Angles in the same segment of a circle]


BAD = 43°


(iii)


In triangle ABD,


ABD + BAD + BAD = 180°[Sum of angles of triangle]


54° + 43° + BAD = 180°


9 + BAD = 180°


BAD = 83°


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