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How do you find the sum of the exterior angle measures of any convex polygon?

If the polygon is regular, how do you find the measure of each exterior angle in the 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.

N=180n−180(n−2)

Distribute 180 .

N=180n−180n+360 =360.

Explanation: