Question

The sum of the measures of the interior angles of polyogon is______?

Answer 1

Answer:

The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180.

Answer 2

Answer:

the sum of the measures of the interior angles of a polygon of $n$ sides is $(n-2)180$  .

Step-by-step explanation:

Suppose a polygon has $n$ sides.

We can connect its diagonals to split the polygon into triangles. We will get $(n-2)$ triangles.

So the sum of the measures of the interior angles of the polygon is,

$Sum= (n-2)\times 180$