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Polygons

A polygon is closed plane figure formed by the joining of three or more straight lines. A regular polygon is one that has equal sides and equal interior angles.

Regular Polygons
Sides
Name Interior
Angles
Exterior
Angles
3
Triangle
60.00°
120.00°
4
Quadrilateral
90.00°
90.00°
5
Pentagon
108.00°
72.00°
6
Hexagon
120.00°
60.00°
7
Heptagon
128.57°
51.43°
8
Octagon
135.00°
45.00°
9
Nonagon
140.00°
40.00°
10
Decagon
144.00°
36.00°
11
Hendecagon
147.27°
32.73°
12
Dodecagon
150.00°
30.00°
13
Triskaidecagon
152.31°
27.69°
14
Tetrakaidecagon
154.29°
25.71°
15
Pendedecagon
156.00°
24.00°
16
Hexdecagon
157.50°
22.50°
17
Heptdecagon
158.82°
21.18°
18
Octdecagon
160.00°
20.00°
19
Enneadecagon
161.05°
18.95°
20
Icosagon
162.00°
18.00°
30
Triacontagon
168.00°
12.00°
40
Tetracontagon
171.00°
9.00°
50
Pentacontagon
172.80°
7.20°
60
Hexacontagon
174.00°
6.00°
70
Heptacontagon
174.86°
5.14°
80
Octacontagon
175.50°
4.50°
90
Enneacontagon
176.00°
4.00°
100
Hectogon
176.40°
3.60°
1,000
Chiliagon
179.64°
0.36°
10,000
Myriagon
179.96°
0.04°

Note: After about 6 sides mathematicians usually refer to these polygons as
n-gons, so a 23 sided polygon would be called a 23-gon.


The sum of the measures of the angles of a convex polygon with n sides is (n - 2)180.

Polygon Angle Calculator
Sides of polygon:
Each exterior angle:
Each interior angle: