We know that the sum of the exterior angles of a regular polygon is 360°. Since the exterior angle is 24°, then
24°n = 360° divide both sides by 24°;
n = 15
Thus a 15-sided regular polygon has an exterior angle of 24°.
If you don't remember the above fact, you can work in this way:
If the exterior angle is 24°, then the angle of polygon will be 156° (180 - 24).
Since the sum of the angle of the polygon is equal to (n - 2)180°, then we have:
156° n = (n - 2)180°
156° n = 180°n - 360° subtract 156°n and add 360° to both sides;
360° = 24°n divide by 24° to both sides;
15 = n
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Each exterior angle measures 36 degrees
square
If its a regular 9 sided polygon then the exterior angles are 40 degrees.
The measure of 1 exterior angle of a regular 8-sided polygon is equivalent to 45 degrees. Hope I helped! :)
If those are exterior angles, the exterior angles of any polygon add up to 360. That would be 18 sides.