The measure of each exterior angle of a regular hexagon is 60 degrees. This can be found using the formula for the exterior angle of a regular polygon:
Exterior angle=360∘n\text{Exterior angle}=\frac{360^\circ}{n}Exterior angle=n360∘
where nnn is the number of sides. For a hexagon, n=6n=6n=6, so:
360∘6=60∘\frac{360^\circ}{6}=60^\circ 6360∘=60∘
Alternatively, since the interior and exterior angles are supplementary (sum to 180°), and the interior angle of a regular hexagon is 120°, the exterior angle is:
180∘−120∘=60∘180^\circ -120^\circ =60^\circ 180∘−120∘=60∘
Thus, each exterior angle of a regular hexagon measures 60°
