6.1 Notes Angles of Polygons Learning Goal: I can use the Polygon Interior Angles Sum and the Polygon External Angles Sum Theorems to solve problems. Polygon Interior Angles Sum Diagonal: We can calculate the formula for the sum of interior angles in any polygon. We begin by drawing all possible diagonals from one vertex. We then count the number of triangles inside the polygon and multiply that number by 180. The result will be the sum of all interior angles in that polygon. Polygon Number of Sides Number of Triangles Sum of Interior Angles Triangle Quadrilateral Pentagon Hexagon n-gon n Example 1 Find the sum of the interior angles in a convex … Heptagon Nonagon
6.1 Notes Angles of Polygons Learning Goal: I can use the Polygon Interior Angles Sum and the Polygon External Angles Sum Theorems to solve problems. Polygon Interior Angles Sum Diagonal: We can calculate the formula for the sum of interior angles in any polygon. We begin by drawing all possible diagonals from one vertex. We then count the number of triangles inside the polygon and multiply that number by 180. The result will be the sum of all interior angles in that polygon. Polygon Number of Sides Number of Triangles Sum of Interior Angles Triangle Quadrilateral Pentagon Hexagon n-gon n Example 1 Find the sum of the interior angles in a convex … Heptagon Nonagon