Question

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

Explanation:

Step1: Identify the number of sides

A dodecagon has \( n = 12 \) sides.

Step2: Substitute into the formula

Use the formula \((n - 2)\times180^{\circ}\). Substitute \(n = 12\): \((12 - 2)\times180^{\circ}\).

Step3: Calculate

First, \(12-2=10\). Then, \(10\times180^{\circ}=1800^{\circ}\).

Answer:

\(1800\)