Answer:
First of all, <F is 63 degrees because of sum of angles in a triangle is equal to 180.
We know that the biggest angle in a triangle is always opposite the biggest side in a triangle, and vice versa. So, you can say that since <E is the smallest angle, the side opposite to it, side FD, is the shortest. Using just that, you can eliminate all options except the first and fifth. Now, <F is the second largest after that, and it's opposite to side DE. That piece of information helps you decide that the answer is Option Five (even though it's not numbered).
The option: FD<DE<EF
Hope this helps!