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.
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If any of the angles is greater than 180 degrees, the quadrilateral is concave.
Any angle <360 degrees is possible, though it would be a concave quadrilateral if the angle were greater than 180 deg.
Three vertices polygons (aka triangle) can not be concave or convex because it doesn't have enough verticies to susustain an internal angle is less than or equal to 180 degrees. * * * * * Actually, a triangle IS a convex polygon. Convexity requires angle to be less than 180 degrees and since the three angles of a triangle sum to 180 degrees, each one of them MUST be less than 180 degrees!
No because the 4 interior angles of any 4 sided quadrilateral always add up to 360 degrees.
a kite or a dart * * * * * Not a kite: all its angles are less than 180 degrees.