1. The problem asks to find the measure of an exterior angle of a regular hendecagon, which is an 11-sided polygon. 2. The sum of the exterior angles of any polygon is always 360 degrees. 3. Since the hendecagon is regular, all exterior angles are equal. 4. Therefore, the measure of each exterior angle is given by $$\frac{360}{11}$$ degrees. 5. Calculate $$\frac{360}{11} \approx 32.7272727$$ degrees. 6. Rounded to the nearest tenth, the measure is $$32.7$$ degrees. Final answer: The measure of an exterior angle of a regular hendecagon is $$32.7$$ degrees.