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in Mathematics by (67.5k points)

Prove that The opposite angles of a quadrilateral inscribed in a circle (cyclic) are supplementary.

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Data:

ABCD is a cyclic quadrilateral; O is the centre of the circle.

To Prove:

(i) ∠A + ∠C = 180o

(ii) ∠B + ∠D = 180 

Construction:

Join BO and DO.

Let ∠BOD = x and reflex ∠BOD = y

Proof:

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