Question

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

Explanation:

Step1: Recall the formula for the sum of interior angles

The formula for the sum of interior angles of an \(n -\)gon is \((n - 2)\times180^{\circ}\), where \(n\) is the number of sides.

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

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

Answer:

\(1800^{\circ}\)