Question 1039309
Find the number of sides of a regular polygon whose each exterior angle has a measure of 135 degrees. 
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Such a regular polygon does not exist.


If you mean the {{{highlight(interior)}}} angle of 135 degs, then the exterior angle is 180-135 = 45 degs and the number of sides 
of the polygon is {{{360/45}}} = 8.


The sum of exterior angles of an n-sided polygon is 360 degs.