Answer:
XG is an angle bisector of ∠YXZ
Step-by-step explanation:
The construction guarantees that XE≅XF and EP≅FP. Of course, XP≅XP. This makes ΔXEP≅ΔXFP by the SSS congruence postulate. Then ∠EXP≅∠FXP by CPCTC, each being half the measure of angle YXZ. Point G is on ray XP, so XG is the bisector of ∠YXZ.
