Any polygon with 2n sides (n integer) where opposite sides are parallel, will have its opposite angles congruent.
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Congruent
Opposite angles of a parallelogram are congruent.
quadrilaterals are consecutive and opposite angles always congruent?
A polygon with 2n sides (n>1) can have opposite angles congruent.
For the quadrilateral to be a parallelogram, both pairs of opposite angles must be congruent.