Question

the diagram shows a regular polygon. what is the value of x? write your answer as an integer or as a decimal rounded to the nearest tenth. x = \\(\square\\)°

Explanation:

Step1: Identify polygon sides count

The polygon has 5 sides (pentagon).

Step2: Calculate exterior angle sum

For any regular polygon, the sum of exterior angles is $360^\circ$.

Step3: Compute single exterior angle

Divide total by number of sides:
$\text{Exterior angle } x = \frac{360^\circ}{5}$

Answer:

$72^\circ$