Answer:
The sum is equal to [tex](k-2)*180\°[/tex] or [tex](k)180\°-360\°[/tex]
Step-by-step explanation:
we know that
The sum of the interior angles in a polygon is equal to the formula
[tex]S=(n-2)*180\°[/tex]
where
S is the sum of the interior angles of a polygon
n is the number of sides
In this problem we have
[tex]n=k\ sides[/tex]
substitute the value
[tex]S=(k-2)*180\°[/tex] or [tex]S=(k)180\°-360\°[/tex]
