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 property

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

Step2: Identify the number of sides

The given polygon is a heptagon (7 - sided polygon).

Step3: Calculate the measure of each exterior angle

Since the polygon is regular, all exterior angles are equal. Let the measure of each exterior angle be (x). Then (x=\frac{360^{\circ}}{n}), where (n = 7). [x=\frac{360}{7}\approx51.4^{\circ}]

Answer:

51.4