In Polygon Explorations, you came up with a formula to find the sum of the measures of interior angles. Use that formula to fill out the chart below.
Chart (Print a chart for each student)
Name
Regular Polygons
| Polygon | Number of Sides, n |
Number of Triangles (n-2) |
|
| Triangle | 3 |
1 |
1(180)=180 degrees |
| Quadrilateral | |||
| Pentagon | |||
| Hexagon | |||
| Heptagon | |||
| Octagon | |||
| Nonagon |
Can you come up with a conjecture of a formula (in terms of n) of the sum of the measures of the interior angles of a convex n-gon? Hint-see column 4 of your table.