Interior Angles of Polygons

 

Divide each polygon into triangles so that they share one vertex. Then, complete the table below.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


Name of Polygon

Number of Sides

Number of Triangles

Total Degrees

Triangle

 

 

 

Quadrilateral

 

 

 

Pentagon

 

 

 

Hexagon

 

 

 

Heptagon

 

 

 

Octagon

 

 

 

Dodecagon

 

 

 

 

 

 

 

N-gon

N

 

 

 

Define interior angles using your own words.

 

 

What is the formula for finding the number of degrees in the interior angles of a polygon?

 

 

 

Describe in your own words how you went about finding this formula.