A regular octagon is shown below. Suppose that the octagon is rotated counterclockwise about its center so that the vertex at y is moved to w. How many degrees does the octagon rotate?

Question

anonymous · Answer

@Squirrels

squirrels · Answer

Do you have the picture of the octagon?

anonymous · Answer

ill take one right now. one sec

squirrels · Answer

Okiee

anonymous · Answer

attachment

anonymous · Answer

@Squirrels there you go

squirrels · Answer

kk thx. 1 sec

squirrels · Answer

@e.mccormick can you help please?

squirrels · Answer

or @mathmale

anonymous · Answer

@quixoticideals @walkingdeadxx @yobro

e.mccormick · Answer

So, how many degrees between vertices?

e.mccormick · Answer

Say I have a regular triangle in a circle:
|dw:1399586281502:dw|

e.mccormick · Answer

It cuts the circle into 3 equal arcs.
|dw:1399586361395:dw|

e.mccormick · Answer

Therefore, each arc in my example is $\dfrac{360^\circ}{3}=120^\circ$.  Just do the same with yours and you will know how large each angle is.