Question

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

Answer 1

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

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\°`