Question

what is the sum of the interior angles of a dodecagon? 1,440° 1,800° 1,620° 1,980°

Explanation:

Step1: Recall the formula

The sum of interior - angles of a polygon is given by $(n - 2)\times180^{\circ}$, where $n$ is the number of sides of the polygon.

Step2: Identify $n$ for a dodecagon

A dodecagon has $n = 12$ sides.

Step3: Calculate the sum

Substitute $n = 12$ into the formula: $(12 - 2)\times180^{\circ}=10\times180^{\circ}=1800^{\circ}$.

Answer:

B. $1,800^{\circ}$