Step 1: ∠DEG and ∠FEG are by definition of an angle bisector. Step 2: It is given that segment DE ≌ segment EF, and segment EG ≌ segment EG by the reflexive property. Step 3: ∆DEG ≌ ∆FEG by . Conclusion: So, ∠D ≌ ∠F because they are corresponding parts of congruent triangle