All regular polygons have equal angles; so an even numbered regular polygon will have a whole number of pairs of equal angles.
trapezoid
not always
It has one pair of opposite angles that are equal but not two.
A parallelogram, or variants of polygons with 6 or more sides.
You need at least one pair of parallel sides. Most trapezoids have that.
all sides being equal
A square
2
1
A rhombus or a parallelogram would fit the given description providing the acute angles are equal and the obtuse angles are equal and that they all add up to 360 degrees.
it has more than one pair
A trapezium, or any one of irregular polygons of 5 or more sides.
No. Parallelograms have only 4 sides with 2 sets of parallel sides: they include squares, rectangles, and rhombuses (rhombi, diamond shapes). Because opposite angles are equal, each pair of parallel sides is equal in length. (For squares and "equilateral rhombi" all four sides are equal in length.)
Geometric shapes that have only one pair of parallel sides include trapezoids (or trapeziums in some regions) and certain types of irregular quadrilaterals. In a trapezoid, the two non-parallel sides are not equal in length and can converge or diverge. These shapes are characterized by their unique angle and side properties, distinguishing them from other quadrilaterals.
Not sure about angels and parrellel, but a trapezium has four angles and only one pair of parallel lines.
There are many such shapes: a prism a cylinder a parallelepiped an octahedron a dodecahedron. Most polyhedra can have a pair of opposite a parallel faces.
Both sexes are equal in having 12 pair of ribs.