aplaya4lyfeSS1

2022-11-26

What is the size of the exterior angle of a regular hexagon?

Cale Terry

Expert

Find the dimensions of a regular hexagon's outer angle. Use the formula to get the size of a hexagon's internal angle.
Since, for the hexagon we have $n=6$.
$d=\frac{180\left(n-2\right)}{n}⇒d=\frac{180\left(6-2\right)}{2}⇒d=\frac{180×4}{2}\therefore d=120$
So, the value of interior angle is $120°$.
Now, subtract the obtained value from $180°$ to get the value of exterior angles.
So, the exterior angle of a regular hexagon will be:
$180°-120°=60°$
Hence, the required solution is $60°$.

Do you have a similar question?