How do you find the sum of the interior angle measures of a convex 16 gon?
Sum of interior angles of a convex 16 sided-polygon
( hexakaidecagon ) would be
Whatever the number of sides of a polygon,
the sum of its exterior angles is always
Further, each pair of exterior angle and interior angle adds up to
Hence in a polygon with
the sum of all the interior and exterior angles would be
and sum of interior angles would be
Hence sum of interior angles of a convex 16-sided polygon would be
Any polygon can be broken up into triangles by drawing in all the possible diagonals from one vertex.
You will find that the number of triangles is always 2 less than the number of sides.
The sum of the angles in any triangle is
Consider the following: