How many sides does a regular polygon have if one exterior angle is 1?

We will use the relationship between the exterior angle and the number of sides of a regular polygon.

Answer: For an exterior angle equal to 1, the total number of sides is equal to 360°.

Let us see how we will use the relationship between the exterior angle and the number of sides of a regular polygon.

Explanation:

The sum of exterior angles of the regular polygon is equal to 360 degrees.

The formula for the exterior angle of a regular polygon with n number of sides is given by: Exterior angle = 360º/n.

Hence, to find the single exterior angle, we have to divide 360 by the number of sides of the regular polygon.

Hence, for an exterior angle equal to 1, the total number of sides is equal to 360^°.