Final answer:
Since CE and FH are parallel lines and angle CDG is 70 degrees, angle EDG is also 70 degrees because they are alternate interior angles.
Step-by-step explanation:
The question relates to finding the measure of angle EDG given that lines CE and FH are parallel and the measure of angle CDG is 70°. Since CE and FH are parallel, angle CDG and angle EDG are alternate interior angles. According to the properties of parallel lines cut by a transversal, alternate interior angles are equal.
Therefore, if m∠CDG is 70°, then m∠EDG must also be 70°.