A regular octagon.
Since the exterior angle is 45 degrees and the sum of all exterior angles of any polygon is 360 degrees, then
45⁰n = 360⁰ n = 8
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The sum of the exterior angles of a regular polygon = 360° If an exterior angle measures 8° then the number of sides = 360/8 = 45
45 degreesIt is: 360/8 = 45 degreesEach exterior angle measures 45 degrees.
For regular polygons, all the interior angles are the same measure, while the sum of the exterior angles is always 360 for any regular polygon. Use these facts and the fact that each interior/exterior angle pair has a sum of 180 to answer this question. 360 divided by 8 = 45. So each exterior angle of the figure measures 45. 180 - 45 = 135, so each interior angle measures 135 degrees.
All polygons exterior angles sum to 360. If it is regular it means all angles are equal So all 8 angles are the same number 8x = 360 x = 45 Each angle is 45 degrees
If its a regular 45-gon it is 8 degrees.