Question

what is the sum of the interior angles of a hexagon?
polygon angle sum formula: $(n - 2)180^{circ}$

Explanation:

Step1: Identify the number of sides of the polygon

A hexagon has \(n = 6\) sides.

Step2: Substitute \(n\) into the formula

Using the formula \((n - 2)\times180^{\circ}\), substitute \(n = 6\): \((6 - 2)\times180^{\circ}\).

Step3: Calculate the result

\((6 - 2)\times180^{\circ}=4\times180^{\circ}=720^{\circ}\)

Answer:

\(720^{\circ}\)