Question

what is the sum of the interior angles of the polygon pictured below?

Explanation:

Step1: Identify the number of sides

The polygon has \(n = 8\) sides.

Step2: Use the formula for the sum of interior angles

The formula for the sum of interior angles of a polygon is \(S=(n - 2)\times180^{\circ}\). Substitute \(n = 8\) into the formula:
\(S=(8 - 2)\times180^{\circ}\)
\(S = 6\times180^{\circ}\)
\(S=1080^{\circ}\)

Answer:

\(1080^{\circ}\)