Regular Polygons
Polygon
Number of
sides
4
5
6
Quadrilateral
Pentagon
Hexagon
Sum of the interior angles
S  n  2 180
Measure of interior angle

n  2 180
S
n
Number of
Diagonals
1
2
3
Number of
Triangles
2
3
4
Example 1
Find the sum of the interior angles and the measure of each interior angle of a
regular eight sided polygon.
Example 2
Find the sum of the interior angles and the measure of each interior angle of a
regular 12 sided polygon.
Tessellations Assignment
1) Find the sum of the interior angles and the measure of each interior angle of
a regular 5 sided polygon (Pentagon).
2) Find the sum of the interior angles and the measure of each interior angle of
a regular 10 sided polygon.
3) Find the sum of the interior angles and the measure of each interior angle of
a regular hexagon. n  6