Question

based on the data in the table, what is the sum of the interior angles of an 8 - sided polygon?

number of sides	sum of all interior angles
4	360°
5	540°
6	720°

the sum =

Explanation:

Step1: Identify the formula

The formula for the sum of interior - angles of a polygon is $S=(n - 2)\times180^{\circ}$, where $n$ is the number of sides of the polygon.

Step2: Substitute $n = 8$

When $n = 8$, we have $S=(8 - 2)\times180^{\circ}$.

Step3: Calculate the result

First, $8−2 = 6$. Then, $6\times180^{\circ}=1080^{\circ}$.

Answer:

$1080^{\circ}$