Question

what is the sum of the measures of the interior angles of a 12 - gon? 1620° 1800° 1980° 2160°

Explanation:

Step1: Recall the formula for the sum of interior angles

The formula for the sum of interior angles of an \(n\) - sided polygon is \(S=(n - 2)\times180^{\circ}\).

Step2: Substitute \(n = 12\) into the formula

When \(n = 12\), we have \(S=(12-2)\times180^{\circ}\).
First, calculate \(12 - 2=10\).
Then, \(S = 10\times180^{\circ}=1800^{\circ}\).

Answer:

\(1800^{\circ}\) (the second option)