To find the number of sides of a regular polygon given an exterior angle, we can use the formula:
Number of sides (n) = 360 / Exterior angle
In this case, we know that the exterior angle is 24 degrees. Plugging this value into the formula gives:
n = 360 / 24
Calculating this, we get:
n = 15
This means that the polygon has 15 sides.
To further clarify, each exterior angle of a regular polygon can be found by dividing 360 degrees by the number of sides. So if you have a polygon with 15 sides, the exterior angle will indeed be 24 degrees, confirming our calculation.