State true or false. If opposite angles of a quadrilateral are equal, it must be a parallelogram.

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True

False

answer is A.

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Detailed Solution

Here, we have to decide if the statement which says that if the opposite angles of a quadrilateral are equal, then it must be a parallelogram, is true or not.
Since, we know that it is the property of a parallelogram that its opposite angle pairs are always equal.
This follows from the properties of opposite sides of a parallelogram being parallel as well as equal.
Hence, the statement is true.
Hence, the correct option is (1).

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