The sum of the measures of the exterior angles of an n-gon one at each vertex is

Solution:

In any polygon, an exterior angle is formed by a side and the extended adjacent side.

The sum of the measures of the exterior angles of an n-gon, one at each vertex is 360°

For example,

1) consider an equilateral triangle 

Each of its exterior angles is 120°

So, 120 × 3 = 360°

2) consider a square

Each of its exterior angles is 90°

So, 90 ×4 = 360°

Therefore, the sum of exterior angles of n-gon is always 360°.

The sum of the measures of the exterior angles of an n-gon one at each vertex is

Summary:

The sum of the measures of the exterior angles of an n-gon one at each vertex is 360°.