a pentagon
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2 obtuse and 2 acute in the classic kite shape.
There can be at most 3 obtuse angles in a quadrilateral.
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 an irregular pentagon.
C.35