Question

What is the sum of the measurements of all the angles in a polygon with k sides?

Answer 1

Answer:

The sum is equal to $(k-2)*180\°$  or $(k)180\°-360\°$

Step-by-step explanation:

we know that

The sum of the interior angles in a polygon is equal to the formula

$S=(n-2)*180\°$

where

S is the sum of the interior angles of a polygon

n is the number of sides

In this problem we have

$n=k\ sides$

substitute the value

$S=(k-2)*180\°$  or $S=(k)180\°-360\°$