By dividing number of its sides into 360 will give you the exterior angle.
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360/exterior angle = number of sides of a regular polygon
If it is a regular polygon then divide the exterior angle into 360 degrees to find the amount of sides it has because the exterior angles of any polygon add up to 360 degrees.
It is: 360/8 = 45 degrees
You divide 360 by 16. For the exterior angle of any regular polygon, just divide 360 by the number of sides because the exterior angle of all regular (possibly all convex polygons, but I'm not sure on that point) add up to 360 degrees. The answer is: 22.5 degrees.
remember this formula for the number of sides = n sum of internal angles of a regular polygon = [2x(n-2)x90 degree] each interior angle of a regular polygon = [2x(n-2)x90 degree]/n each exterior angle of a regular polygon = 360 degree/n for your question: each exterior angle of a 15 sided regular polygon = 360 degree/15 = 24 degree