Q1 of 141 Page 438

In the given figure, is a cyclic quadrilateral whose diagonals intersect at such that and Find (i) (ii)

(i)


∠BAC = ∠BDC = 40°[Angles in the same segment]


In triangle BCD,


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


⇒ ∠BCD + 60° + 40° = 180°


⇒ ∠BCD + 100° = 180°


⇒ ∠BCD = 80°


(ii)


∠CAD = ∠CBD [Angles in the same segment]


⇒ ∠CAD = 40°


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