What has two pairs of parallel sides may have two acute angles of the same and two obtuse angles of the same?

The shape you are describing is a trapezoid. A trapezoid has two pairs of parallel sides, with one pair longer than the other. It can have two acute angles and two obtuse angles, depending on the lengths of the sides. The acute angles are typically smaller than 90 degrees, while the obtuse angles are larger than 90 degrees.