It could be a right trapezium, a kite, or an irregular quadrilateral with no specific name.
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A quarangle is a four sided shape so if it's a square it could have four right angles
A four-sided shape in which only two sides are parallel is called a trapezoid. All two-dimensional, four-sided shapes are known as quadrilaterals.
any 4 sided 2d shape * * * * * Mathematically, any plane shape, no matter how many sides.
The best name for that is "a 111-sided shape". It really isn't worthwhile to find more specific names for hundreds of shapes whose only difference is the number of sides.
Any angle that you like. It is only if the shape is regular that you can make any more precise statements.