What is the sum of the measures of the interior angles of a dodecagon?
Check the final answer first, then review the worked steps.
Problem
What is the sum of the measures of the interior angles of a dodecagon?
Step-by-step solution
A dodecagon has 12 sides. The sum of the interior angles of a polygon with n sides is given by the formula $(n-2) \times 180^{\circ}$. For a dodecagon, $n=12$, so the sum is $(12-2) \times 180^{\circ} = 10 \times 180^{\circ} = 1800^{\circ}$.
Answer
$1800^{\circ}$