Step 1: Recall the embryo sac structure.
The mature female gametophyte of an angiosperm is a 7-celled, 8-nucleate embryo sac, with an egg apparatus, a central cell and antipodals.
Step 2: Identify the egg apparatus.
At the micropylar end sits the egg apparatus, made of one egg cell and two synergids on either side.
Step 3: Recall the filiform apparatus.
The synergids have special finger-like thickenings at their tips called the filiform apparatus.
Step 4: Trace the pollen tube path.
The pollen tube grows down the style and enters the ovule through the micropyle, then needs guidance to reach the egg.
Step 5: See who guides it.
The filiform apparatus of the synergids releases chemical (chemotropic) signals that guide the pollen tube into one of the synergids.
Step 6: Rule out the others and conclude.
Polar nuclei, antipodals and the central cell do not guide the tube. The synergids do, so they are the answer.
\[ \boxed{\text{Synergids}} \]