if the exterior angle of a regular polygon is 36 degrees how many sides does the polygon have
To find the number of sides of a regular polygon, we can use the formula:
n = 360 / (180 - x)
Where n is the number of sides and x is the measure of the exterior angle of the polygon.
Plugging in x = 36 degrees:
n = 360 / (180 - 36)
n = 360 / 144
n = 2.5
Since the number of sides must be a whole number, the answer is rounded down to the nearest whole number:
n = 2
Therefore, the polygon has 2 sides.