# What is the number of sides in a polygon whose sum of the interior angles is 1800?

##### 2 Answers

Number of sides in a polygon is

#### Explanation:

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

As such

Hence, number of sides in a polygon is

#### Explanation:

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: