Question

In Exercise 3-6, match the description with correct value.

Measures of interior angles of a regular hexagon.

Short answer

The measures of interior angles of a regular hexagon is $120°$.

Step-by-step solution

Given information. 

Here, the polygon is regular hexagon.

Formula used. 

All interior angles of a regular polygon are equal and the measure of an interior angle of regular n-gon is $\frac{\left(n-2\right)\times 180°}{n}$.

Calculation. 

Here, polygon is regular hexagon this implies that $n=6$.

Therefore, The measures of interior angles of a regular hexagon is

$\begin{array}{c}\frac{\left(n-2\right)\times 180°}{n}=\frac{\left(6-2\right)\times 180°}{6}\\ =\frac{4\times 180°}{6}\\ =\frac{720°}{6}\\ =120°\end{array}$

The measures of interior angles of a regular hexagon is $120°$.