Final answer:
To accurately determine the values of angle ZG in the shape AEFG, additional details about AEFG are required. The problem appears to be related to trigonometry and may involve the Law of Sines or Cosines.
Step-by-step explanation:
The question involves finding possible values of angle ZG in a geometry problem, given the lengths of sides g and f, and the measure of angle F. This is a trigonometry problem that can be solved using the Law of Sines or Law of Cosines, depending on additional information given about the shape AEFG which is not specified in the question. To find all possible values of angle ZG, more information about the figure AEFG is needed, such as whether it is a triangle or another shape, and the relationships between the sides and angles.