Question

1. find the measure of one exterior angle in the regular polygon. round to the nearest tenth if needed.

Explanation:

Step1: Count polygon sides

Count the sides of the regular polygon: $n=11$

Step2: Apply exterior angle formula

For any regular polygon, the measure of one exterior angle is $\frac{360^\circ}{n}$.
Substitute $n=11$:
$\text{Exterior angle} = \frac{360^\circ}{11}$

Step3: Calculate and round

Compute the value and round to the nearest tenth:
$\frac{360}{11} \approx 32.7^\circ$

Answer:

$32.7^\circ$