Math, asked by mankiyakusre, 1 day ago

statement: opposite angles of a cyclic quadrilateral are supplementary

Answers

Answered by pcsvharshitha

Answer:

Arc BCD is intercepted by the inscribed ∠BAD. Arc BAD is intercepted by the inscribed ∠BCD. Again, as the sum of the measures of angles of a quadrilateral is 360°. Hence the opposite angles of a cyclic quadrilateral are supplementary.

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Answered by archuvriti1753

Answer:

Arc BCD is intercepted by the inscribed ∠BAD. Arc BAD is intercepted by the inscribed ∠BCD. Again, as the sum of the measures of angles of a quadrilateral is 360°.

Hence the opposite angles of a cyclic quadrilateral are supplementary.

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