Final answer:
To find the smallest positive angle of rotational symmetry for a nonagon, divide 360 degrees by the number of sides, which results in 40 degrees.
Step-by-step explanation:
The smallest positive angle of rotational symmetry for a nonagon (9-sided polygon) is found by dividing a full circle (360 degrees) by the number of sides. Therefore, the smallest angle of rotational symmetry is 360 degrees ÷ 9 which equals 40 degrees. This is the angle at which the nonagon can be rotated and still look the same as it did before the rotation.