A daimond or rhombus
There is no three-sided shape with two obtuse angles, because the three interior angles of a three-sided shape, which is a triangle, add up to 180 degrees, and two obtuse angles would be over 180 degrees.
A trapezium
it is a rhombus
rhombus
56678 Shape is called a rhombus
A pentagon. It could look like a child's outline of a house.
Connect two ends of the obtuse angles, making a sort of M shape. Then use the line to connect the points at the top of the M. Pivoting the two obtuse angles might be necessary, depending on line length.
The shape could be a parallelogram (including a rhombus). Some kites would satisfy these requirements. And it is, of course, possible to have a shape with 5 or more vertices (i.e. more than 4 angles) that contains two acute and two obtuse angles.
If they have the same angles.
It is an irregular pentagon.
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.
There are versions of quadrilaterals, pentagons and hexagons that have only two obtuse angles. If a shape with seven or more sides has two (or fewer) obtuse angles, it will also have at least one reflex angle and so will no longer be a convex polygon.