Question

the sum of the angles of a regular polygon is 1080 find the sides of the p
olygon what is each outer angle
?​

Answer 1

Answer:

Step-by-step explanation:

And here’s why the sum of the interior angles is (n-2)*180:

Imagine walking around the polygon counterclockwise. At ever corner, you have to turn left exactly  360∘n , so after taking that turn  n  times, we’re back facing the way we started.

The interior angle there is  180∘−360∘n , and the sum of  n  of those interior angles is  n(180∘−360∘n)=(n−2)×180