KöMaL 2019 K641
Some points are selected in the interior of a convex quadrilateral. These points are connected to each other and to the vertices of the quadrilateral with line segments such that the line segments have no intersection inside the quadrilateral, and they divide the quadrilateral into small triangles and pentagons. (Every interior point is a vertex of some triangle or quadrilateral.) Is it possible to divide the quadrilateral into exactly 2019 polygons in this way?
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