If opposite angles of a quadrilateral are equal, then it is necessarily a ____.

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Detailed Solution

If opposite angles of a quadrilateral are equal, then it is necessarily a parallelogram.
A parallelogram is a two-dimensional shape with two parallel sides that is equal on both sides. The opposite sides are congruent and parallel. The diagonals cut each other in half.
The opposing angles of a parallelogram are congruent.
As a result, a parallelogram is a quadrilateral with opposite angles that are equal.
Hence, a quadrilateral must be a parallelogram if its opposing angles are equal.

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