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

Question

Philoid · Accepted Answer

(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°