Question

if the exterior angle of a regular polygon is 36 degrees how many sides does the polygon have

Answer 1

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.