# What is the sum of the exterior angles of a polygon with 4 sides? 5 sides? 6 sides? n sides?

##### 2 Answers

The sum of the exterior angles is always

#### Explanation:

The interior angle of a polygon can be found by:

a) 4 sides

Interior angle is equal to:

Therefore, exterior angle is equal to

The sum

b) 5 sides

Interior angle is equal to:

Therefore, exterior angle is equal to

The sum

c) 6 sides

Interior angle is equal to:

Therefore, exterior angle is equal to

The sum

d) n sides

Interior angle is equal to:

So exterior angle is equal to

exterior angle

The sum

#### Explanation:

#"The sum of the exterior angles of any polygon is "360^@#