Question

sum of inner angles of a polygon is 1080degree
a.how many sides are there?
b. can the sum of the angles be 1000degree.Why?​

Answer 1

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 .