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Q.

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

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a

One circle would pass through all four vertices.

b

Infinite circles can pass through all four vertices.

c

Two circles can pass through all four vertices.

d

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 180o, 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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