Yes.
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An arrow can have both concave and convex surfaces, depending in its design.
Reflex angle
Yes. All polygons with 4 or more sides can be concave. An arrowhead is an example of a concave quadrilateral. The back of an envelop (where the sides are folded and glued together) is a concave pentagon.
It is also called an arrowhead. It is a kite with one of the vertices between equal sides "pushed in" so that it becomes a reflex angle.
It depends on they type of arrowhead you have. If it is a arrowhead in the shape of a directional arrow, there are no obtuse angles. The most possible obtuse angles is 1.