The measure of the exterior angle of a regular polygon is given by the formula \(\dfrac{360}{n}\) where \(n\) is the number of sides.
To find the number of sides of a polygon with the exterior angle measuring \(1^{\circ}\) we have to solve the equation \(\dfrac{360}{n}=1\).
\(\dfrac{360}{n}=1|\cdot n\\
n=360\)
It has 360 sides.
