Yes, be it a common convex quadrilateral or a concave quadrilateral.
For a convex quadrilateral, the most obvious example is a irregular trapezium, where the upper base and the lower base are of different length, and the slanted sides are of different length.
It is similar for a concave quadrilateral.
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A quadrilateral with all right angles is a rectangle.
Square
It is an irregular quadrilateral if the 2 long sides are adjacent, and a parallelogram if the two long sides are not adjacent, because having two sets of opposite sides of equal length must form parallels. Only if all of the angles are right angles would it be a rectangle.
Opposite angles are angles across from each other in intersecting lines. For example, see the figure below:a-> X
60o Angles in a triangle sum to 180o With 3 angles all the same each one is 180o ÷ 3 = 60o