# 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^{°}.

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