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A regular polygon has 25 sides. Find the sum of the angles? Find the each external and internal angle?
The sum of the measures of an interior angle of a regular polygon with n sides is given by (n-2)×180.

i.e., sum of the interior angles of the given polygon = 23 × 180o
                                                           = 4140o
Each interior angle = 4140/25
                                      = 165o 36' (or 165.6 degree)

Each exterior angle = 360/25 (since sum of the exterior angles is 360)
                              = 14.4 degree ( 14o 24')


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