Respuesta :

In order to solve we remember that the sum of internal angles of a polygon is given by:

[tex]\text{anlge}=(n-2)\cdot180[/tex]

Where "n" is the number of sides.

So, we solve now:

[tex]3420=(n-2)\cdot180\Rightarrow n-2=19[/tex][tex]\Rightarrow n=21[/tex]

So, the polygon has 21 sides.