POLYGON

# of vertices

# of sides

# of interior angles

# of diagonals from one vertex

# of triangles formed by diagonals from one vertex

angle sum

measure of each angle if the polygon is regular

triangle

3

3

3

0

1

180

60

quadrilateral

4

4

4

1

2

180 * 2 = 360

90

pentagon

5

5

5

2

3

180 * 3 = 540

108

hexagon

6

6

6

3

4

180 * 4 = 720

120

heptagon

7

7

7

4

5

180 * 5 = 900

octagon

8

8

8

5

6

180 * 6 = 1080

135

nonagon

9

9

9

6

7

180 * 7 = 1260

140

decagon

10

10

10

7

8

180 * 8 = 1440

144

hendecagon

11

11

11

8

9

180 * 9 = 1620

dodecagon

12

12

12

9

10

180 * 10 = 1800

150

n-gon

n

n

n

n-3

n-2

180(n-2)