Prove that any polygon admits a triangulation

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1.Prove that the smallest angle of any triangulation of a convex polygon whose vertices lie on a circle is the same. This implies that any completion of the Delaunay triangulation of a set of points maximizes the minimum angle.

2.Prove that any polygon admits a triangulation, even if it has holes. Can you say anything about the number of triangles in the triangulation?

Reference no: EM13563740

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