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^\circ

Explanation:

Step1: Count polygon sides

The polygon has 11 sides ($n=11$).

Step2: Find exterior angle sum rule

For any regular polygon, the measure of one exterior angle is $\frac{360^\circ}{n}$.

Step3: Calculate exterior angle

Substitute $n=11$:
$\frac{360^\circ}{11} \approx 32.7^\circ$
$x$ is equal to this exterior angle.

Answer:

$32.7$