The answer depends on the shape of the quadrilateral and the form in which that information is given: for example, lengths of sides and angles, coordinates of vertices.
Square.
The description given could be that of a quadrilateral kite.
This result follows from the theorem that the sum of the angles of a triangle is 180 degrees. Drawing a diagonal in the quadrilateral splits it into two triangles and the angles of the triangles together combine to form the angles of the quadrilateral.
4 sides and 1 diagonal is given. 3 sides and 2 diagonals are given. 3 angles and measurement of two adjacent angles are given. 3 sides and 2 included angles are given. 4 sides and 1 angle is given.
A 4 sided quadrilateral kite would fit the description given.
A quadrilateral is a shape with four sides... It doesn't have *one* angle. The sum of the interior angles of a quadrilateral will always be 360 degrees, however, it is impossible to know the value an individual angle of a quadrilateral with the information given.
Trapezoid.
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.
Yes providing the 4 interior angles add up to 360 degrees
There are 4 interior angles in a quadrilateral
A square or a rectangle would fit the given description