The sum of the interior angle measures of a convex polygon is 1620° . how many sides does it have?the sum of the interior angle measures of a convex polygon is 1620° . how many sides does it have?

Respuesta :

If you are given a convex polygon with [tex]n[/tex] sides and [tex]S[/tex] is the sum of the measures of the interior angles then [tex]S = 180(n - 2)[/tex].

So, 
[tex]1,620 = 180(n-2)[/tex].
[tex]n-2=9[/tex]
[tex]n=11[/tex]

The polygon has 11 sides.
no. of sides 
=1620/180+2
=11