The measure of each exterior angle of a regular polygon is given by the formula 360/n, where n is the number of sides of the polygon.

Given that the exterior angle measures 45°, we can set up the equation 360/n = 45 and solve for n:

360/n = 45
360 = 45n
n = 360/45
n = 8

So, the polygon has 8 sides.

Question

The measure of each exterior angle of a regular polygon is given by the formula 360/n, where n is the number of sides of the polygon.

Given that the exterior angle measures 45°, we can set up the equation 360/n = 45 and solve for n:

360/n = 45
360 = 45n
n = 360/45
n = 8

So, the polygon has 8 sides.

Knowee AI · Accepted Answer

The measure of each exterior angle of a regular polygon is given by the formula 360/n, where n is the number of sides of the polygon.

Given that the exterior angle measures 45°, we can set up the equation 360/n = 45 and solve for n:

360/n = 45
360 = 45n
n = 360/45
n = 8

So, the polygon has 8 sides.

If an exterior angle of a regular polygon measures 45°, how many sides does the polygon have?