Question

abcd is a cyclic quadrilateral such that angle bad=60 find angle bod and angle bcd ​

Answer 1

Answer:

∠BCD = 120° and ∠BOD = 120°

Step-by-step explanation:

here, ABCD is a cyclic quadrilateral and the sum of opposite angles of cyclic quadrilateral is 180°.

hence, ∠BAD + ∠BCD = 180°

        = 60° + ∠BCD = 180°

        = ∠BCD = 180° - 60°

        = ∠BCD = 120°

now, ∠BOD = 2∠BAD

     = ∠BOD = 2 × 60°

     = ∠BOD = 120°

so, ∠BCD = 120° and ∠BOD = 120°.