Polygons That Have Integer Angles

   
Rather than using the polygon calculator constantly, this table was created to show the angles for some of the more commonly encountered polygons.


    Polygon  
    NAME
  Polygon  
  SIDES
  Each
  Interior 
  ANGLE
  Central  
  ANGLE
  Equals
  Exterior  
  Angle =

    Interior  
    ANGLE
    Total
 
    Triangle         3     60   120        180
    Square         4     90     90        360
    Pentagon         5   108     72        540
    Hexagon         6   120     60        720
    Octagon         8   135     45     1,080
    Nonagon         9   140     40     1,260
    Decagon       10   144     36     1,440
    Dodecagon       12   150     30     1,800
    Pentadecagon       15   156     24     2,340
    Octadecagon       18   160     20     2,880
    Icosagon       20   162     18     3,240
    Icositetragon       24   165     15     3,960
    Triacontagon       30   168     12     5,040
    Triacontahexagon       36   170     10     6,120
    Tetracontagon       40   171       9     6,840
    Tetracontapentagon         45   172       8     7,740
    Hexacontagon       60   174       6   10,440
    Heptacontadigon       72   175       5   12,600
    Enneacontagon       90   176       4   15,840
    *****     120   177       3   21,240
    *****     180   178       2   32,040
    *****     360   179       1   64,440


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