What is the angle of rotation for a regular octagon?
(Note: Be sure to type out the word degrees, instead of the symbol.)

Question

What is the angle of rotation for a regular octagon?
(Note: Be sure to type out the word degrees, instead of the symbol.)

anonymous · Answer

The way I always think of this is to imagine walking along the base (ccw) and then I turn left by what angle?  Answer:
360/n = 45
because after n turns I must end up facing how I started
The other way to think of it is to note that the sum of interior angles is
(n-2) 180 = 1080
1080/n = 135
And the external angles are the supplement of this, that is, 45