Final answer:
The maximum number of degrees of longitude on Earth is 360 degrees, which corresponds to the full rotation of the Earth around its axis.
Step-by-step explanation:
The maximum number of degrees of longitude that are possible on Earth is 360 degrees. This is because longitudinal lines run from the North Pole to the South Pole and are used to measure distances east or west of the Prime Meridian (zero degrees longitude). As the Earth is a sphere, it has a 360-degree rotation which corresponds to the longitudinal degrees that encircle the Earth. Just as there are 360 degrees in a circle, the Earth is divided into 360 degrees of longitude for geographical and navigational purposes.