What is the number of sides in a polygon whose sum of the interior angles is 1800?
Number of sides in a polygon is
Sum of all the exterior angles of any polygon is always
As sum of every pair of interior and exterior angle is
sum of all the interior and exterior angles of a polygon with
As sum of interior angles of given polygon is
Hence, number of sides in a polygon is
All polygons can be divided up into triangles by joining one vertex to all of the other vertices.
The number of triangles is always two less than the number of sides.
If you know the number of triangles you add
Every triangle has
Number of triangles:
Number of sides: