Final answer:
If triangle E'F'G' is congruent to triangle EFG, then the measure of angle F in triangle E'F'G' is also 52°, as corresponding angles of congruent triangles are equal.
Step-by-step explanation:
The question asks for the measure of angle F in triangle E'F'G' if triangle E'F'G' is a copy of the original triangle EFG, where the measure of angle F in EFG is 52°. Assuming that triangle E'F'G' is an identical or congruent copy of triangle EFG, the angles in both triangles would be the same--meaning that the corresponding angles would have equal measures due to the Corresponding Angles Postulate.
Thus, the measure of angle F in triangle E'F'G' would also be 52°, the same as it is in triangle EFG.