A polygon with 2n sides (n>1) can have opposite sides congruent.
cuboid
trapezoids
Oh your face
Any regular polygon with an even number of sides will have opposite angles of equal measure.
There are many such shapes. Any polygon with an even number of sides can have opposite sides that meet the above requirements.
A polygon with 2n sides (n>1) can have opposite sides congruent.
A square
cuboid
Trapezoidrectanglediamondparallelogram
Any polygon with 2n sides (n integer) where opposite sides are parallel, will have its opposite angles congruent.
Of some shape, Yes. Of other shapes, No.
a trapeziod
trapezoids
Oh your face
Any regular polygon with an even number of sides will have opposite sides that are parallel. For quadrilaterals (4-sided shapes), a trapezoid has one set of opposite sides and a parallelogram (rectangle, square, rhombus) has both sets of opposite sides parallel.
Both shapes have 4 sides, two pairs equal in length. In a parallelogram the equal length sides are opposite each other. In a kite the equal length sides are adjacent.