CPM Homework Help : CCG Problem 9-35

Four points, E, H, G, and F are connected by lines, H, E, and E, G, and H, F, and G, F, and E, F. Angles H and G are equal and angles G, E, F is equal to angle H, F, E. Are $ΔEHF$ and $ΔFGE$ congruent? If so, explain how you know. If not, explain why not.

Hint:

What do the markings on the figures mean?
What other parts do these triangles have in common?

More help:

Yes, they are congruent. What is the reason?