Question

find the sum of the measure of external angles of any polygon

Answer 1

If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is

360° .

Consider the sum of the measures of the exterior angles for an

n -gon.

The sum of the measures of the exterior angles is the difference between the sum of measures of the and the sum of measures of the interior angles.

That is, the sum of the exterior angles

n is

N=180n−180(n−2)

Distribute

180

N=180n−180n+360  = 360

Hope this will help you .....✌