Interior and Exterior Angles of Polygons Worksheet Write your answer on the pace provided. Round to the nearest hundredth when applicable. I. Determine the sum of the interior angles for each polygon. \( \begin{array}{lll}\text { 1) } & \text { 2) } 17 \text {-gon } & \text { (3) } 23 \text {-gon }\end{array} \)

To find the sum of the interior angles of a polygon, you can use the formula: \( S = (n - 2) \times 180 \), where \( n \) is the number of sides (or vertices) in the polygon. For the 17-gon: \[ S = (17 - 2) \times 180 = 15 \times 180 = 2700 \text{ degrees} \] For the 23-gon: \[ S = (23 - 2) \times 180 = 21 \times 180 = 3780 \text{ degrees} \] So, the sum of the interior angles for the 17-gon is 2700 degrees and for the 23-gon is 3780 degrees.