A chevron or arrowhead.
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concave
No.
A concave quadrilateral. An arrowhead or a delta, for example.
A normal 2-D quadrilateral would be neither convex or concave. There are three-dimensional quadrilaterals, such as prisms, but it would depend on the shape.
The sum of the interior angles of a quadrilateral is 360 degrees (not 180). The sum of the exterior angles is also 360 degrees. Whether the quadrilateral is convex or concave is not relevant.