Question

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

Answer 1

Determine the size of the exterior angle of a regular hexagon.

Apply the formula for finding the measure of the interior angle of a hexagon.

Since, for the hexagon we have $n=6$.

$\begin{array}{rcl}d& =& \frac{180\left(n-2\right)}{n}\\ & \Rightarrow & d=\frac{180\left(6-2\right)}{2}\\ & \Rightarrow & d=\frac{180\times 4}{2}\\ \therefore d& =& 120\end{array}$

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 $60°$.