Question

Abcd is a cyclic quadrilateral in which is equal to bd are its diagonals if dbc equal to 60 bse 30 find bcd

Answer 1

given that ∠CAD = ∠DBC = 55     (Since angles in the same segment)

∠DAB = ∠CAD + ∠BAC

        = 55 + 45

        = 100

similarly ∠DAB + ∠BCD = 180   (Opposite angle of a cyclic quadilateral)

 => ∠BCD = 180 - ∠DAB

               = 180 - 100

=> ∠BCD = 80

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