A, a triangle
Trapezium (only type)
An irregular quadrilateral doesn't need to have any right angles. It's possible for it to have one or two right angles, but no more than two of them.
A kite can have exactly two right angles.
If you are saying a quadrilateral that only has two right angles I believe it is a trapezoid. A square or other rectangle, all of which have four right angles, also satisfies all the conditions explicitly given.
A 4 sided polygon is called a quadrilateral. Depending on where the two right angles are, would put the quadrilateral into different subsets. For example if the two right angles are on adjacent corners (and the other 2 angles are not right angles), then it is a trapezoid. If the 2 right angles are in opposite corners, and the other 2 angles are not right angles then it would be a kite-shaped quadrilateral.
It is a convex quadrilateral, as the remaining angles could be any two angles with a sum of 180 degrees.
No quadrilateral with 2 internal right angles can be anything other than a square or rectangle. The shape described in the question does not exist.Improved Answer:-It could be a trapezoid with two right angles, an acute angle and an obtuse angle.