Problema Solution

How many exterior angles are there in an n-gon? Are all the exterior angles considered when you use the Polygon Exterior Angles Theorom? Explain.

Answer provided by our tutors

 yes

Sum of exterior angles is always 360 degrees

Each exterior angle is 360/n

each interior angle is the suppliment of an exterior angle

each interior angle is 180-(360/n) = (180n-360)/n

The sum of the n interior angles is 180n-360 = 180(n-2)