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If the sum of opposite angles of a quadrilateral is 180°, then

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One circle would pass through all four vertices.

Infinite circles can pass through all four vertices.

Two circles can pass through all four vertices.

None of the above

answer is A.

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Detailed Solution

If the sum of any pair of opposite angles of a quadrilateral is 180^o, then the quadrilateral is cyclic.

Therefore, if the sum of opposite angles of a quadrilateral is 180° then, one circle would pass through all four vertices.

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