<P> In geometry, a vertex angle is the angle associated with a vertex of a polygon . Often a vertex angle of a polygon is referred to simply as an angle of the polygon . </P> <P> A vertex angle in a polygon is often measured on the interior side of the vertex . For any simple n - gon, the sum of the interior angles is π (n − 2) radians or 180 (n − 2) degrees . </P> <P> In higher - dimensional polyhedra and polytopes, a vertex angle is an angle formed by two edges of the polyhedron that both belong to a common two - dimensional face of the polyhedron . That is, it is a vertex angle of one of the polygons that form the polyhedron . </P>

What is the measure of a vertex angle
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