Marco is drawing a regular hexagon. He needs to know what the measure is of one interior angle. (1 point)

Question

What is the measure of one interior angle?
°

Answer 1

To find the measure of one interior angle of a regular hexagon, you can use the formula for the interior angle of a regular polygon:

$$\text{Interior angle}=\frac{(n-2)\times {180}^{\circ }}{n}$$

where $n$ is the number of sides of the polygon. For a hexagon, $n=6$.

Plugging in the value:

$$\text{Interior angle}=\frac{(6-2)\times {180}^{\circ }}{6}=\frac{4\times {180}^{\circ }}{6}=\frac{{720}^{\circ }}{6}={120}^{\circ }$$

Therefore, the measure of one interior angle of a regular hexagon is ${120}^{\circ }$.