Question

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

Answer 1

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`.