Question

solve the following activities. (Any 2)
Prove that:
Opposite angles of a cyclic quadrilateral are supplementary. ​

Answer 1

Answer:

OPPOSITE ANGLES OF A CYCLIC QUADRILATERAL ARE SUPPLEMENTARY PROOF

To prove : ∠BAD + ∠BCD = 180°, ∠ABC + ∠ADC = 180°

(i) ∠BAD = (1/2)∠BOD.

(ii) ∠BCD = (1/2) reflex ∠BOD.

(iii) ∠BAD + ∠BCD = (1/2)∠BOD + (1/2) reflex ∠BOD.

∠BAD + ∠BCD = (1/2)(∠BOD + reflex ∠BOD)

∠BAD + ∠BCD = (1/2) ⋅ (360°)