To determine which of the statements is true, we would need more context or a diagram showing the relationships between the angles (∠FDG, ∠DFE, ∠GEF, ∠FEG, and ∠GDF, ∠DGE). Without that visual information, I can't definitively confirm which statement is correct.
If you have a specific geometric figure in mind or additional information about the relationships between these angles, please share it! This way, I can help you identify the correct statement.