Final answer:
The measure of angle GDF cannot be determined from the information provided about angle BDE without additional context or a diagram showing their relationship in a geometric configuration.
Step-by-step explanation:
The question provided seems to be lacking context or enough information to provide a definitive answer regarding the measure of angle GDF. Typically, in mathematics, especially in geometry, the relationships between angles are determined by the specific configuration of the lines and points in a diagram.
For example, if angles BDE and GDF are corresponding angles in a pair of parallel lines cut by a transversal, then they would be equal. However, if there is no such relationship, the measure of angle GDF cannot be conclusively determined from the information given about angle BDE alone.
To provide an accurate answer, more information about the geometric figure and the position of angles BDE and GDF in relation to each other is required.