the diagram shows a regular polygon. what is the value of x? write your answer as an integer or as a decimal…

Explanation:

Step1: Recall exterior - angle sum

The sum of exterior angles of any polygon is 360°.

Step2: Identify the number of sides

Assume the polygon is a regular hexagon (6 - sided).

Step3: Calculate the exterior angle

For a regular polygon, each exterior angle $\theta=\frac{360^{\circ}}{n}$, where $n$ is the number of sides. Here $n = 6$, so $\theta=\frac{360^{\circ}}{6}=60^{\circ}$.

Answer:

$60$