We are given a polygon
with exterior angle= 45
sides=?
since the polygon exterior angle is 45
the interior angle is
[tex]180-45=135[/tex]the only polygon with inner angles equals to 135 is a octagon
other way to find the octagon is as we know that all the exterior angles sum to 360
then
[tex]\frac{360}{45}[/tex][tex]\frac{360}{45}=8[/tex]
