# If sum of all the interior angles of a polygon is #2340^@#, how many sides does it have?

##### 1 Answer

Feb 24, 2017

#### Explanation:

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

As sum of angles is

Hence,

and