Answer:
Exterior angle = 45°
Step-by-step explanation:
We know that the sum of exterior angles of a polygon is 360 degrees.
Since here we a regular polygon with eight sides (which makes it an octagon) so this means that the interior angles each would be equal to:
[tex]\frac{(n - 2) \times 180}{n} \\ \frac{(8 - 2) \times 180}{8}\\ \frac{6 \times 180}{8} \\ \frac{1080}{8} [/tex] = 135 degrees
We know that each interior angle is supplementary to the exterior angle at the vertex.
So each exterior angle = [tex]180-135[/tex] = 45 degrees
