Final answer:
The corresponding angles created by a transversal with parallel lines are equal.
Step-by-step explanation:
Recognize that if lines AG and BH are parallel and line CF is a transversal, then the corresponding angles created by the transversal with these parallel lines will be equal. Therefore, the angle formed at E on line AG by transversal CF will be equal to the angle formed at D on line BH. This coheres with basic geometric principles surrounding parallel lines and transversals.