The sum of the measures of the interior angles of a convex polygon is 8640°. How many sides does the polygon have?

1 Answer
Jun 19, 2016

It has 50 sides.

Explanation:

The rule is that a polygon with n sides has a sum on interior angles given by 180^\circ(n-2).

For our case we have

180^\circ(n-2)=8640^\circ

then

n=(8640^\circ)/(180^\circ)+2=48+2=50.