Question

question 10 of 10 what is the sum of the measures of the interior angles of a dodecagon? a. 1800° b. 1440° c. 2160° d. 1620° e. 2880° f. 3600°

Explanation:

Step1: Recall the formula

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

Step2: Identify the number of sides

A dodecagon has $n = 12$ sides.

Step3: Calculate the sum

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

Answer:

A. $1800^{\circ}$