sum of the exterior angles of a 3000gon is
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Step-by-step explanation:
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
That is, the sum of the exterior angles n is
N=180n−180(n−2)
Distribute 180 .
N=180n−180n+360 =360
Example:
m∠1+m∠2+m∠3+m∠4+m∠5=360°
(In the case of a non-convex polygon, you may need to consider some of the exterior angles as negative values.)
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