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With 2 acute and 2 obtuse angles it has 4 angles - the shape is a quadrilateral. The shape can be one of trapezium, parallelogram, rhombus, kite or a general quadrilateral. With the two acute angles next to each other (forcing the two obtuse angles to be next to each other) the shape can be either a trapezium or a general quadrilateral.
It is nearly the shape of a square but one side is sloping and I think it is called a trapezoid
A quadrilateral is any shape with four sides; angles can be acute or obtuse. A perfect square is the only quadrilateral with only right angles.
No shape does. If it has 4 sides and one pair of parallel lines it cannot have only 1 right angle, it must either have: 1) 2 right angles, 1 acute acute and 1 obtuse angle; or 2) no right angles, 2 acute angles and 2 obtuse angles; in which case it would be a trapezium (trapezoid).
A kite, a parallelogram, many ordinary quadrilaterals with no specific names.