It could be a polygon with 4, 6, 8, etc vertices.
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If you mean on opposite sides yes. There are 2 pairs of congruent angles.
a parallelogram
A rhombus always have 2 pairs of congruent angles, yes.
A rhombus (pushed over square) will give you 2 pairs of parallel, congruent sides, 2 acute angles and 2 obtuse angles.
2 pairs