Find the sum of the angle measures of a dodecagon. The sum is \( \square \) degrees.

To find the sum of the angle measures of a dodecagon (a 12-sided polygon), you can use the formula for the sum of interior angles of a polygon, which is \( (n - 2) \times 180 \), where \( n \) is the number of sides. For a dodecagon, \( n = 12 \). So, the calculation would be: \[ (12 - 2) \times 180 = 10 \times 180 = 1800 \] Thus, the sum of the angle measures of a dodecagon is \( 1800 \) degrees. Now, let's explore a bit more about polygons! Did you know the word "dodecagon" comes from the Greek "dodeka" meaning twelve and "gonia" meaning angle? Furthermore, each interior angle of a regular dodecagon is \( 150 \) degrees, which showcases its symmetry and beauty! When working on problems involving polygons, a common mistake is forgetting to apply the \( n - 2 \) part of the formula. It’s also crucial to remember that this only works for convex polygons. For practice, try calculating the angles for different polygons, like pentagons or hexagons. Test your skills and see how quickly you can tally up the angles!