Step 1: List the anther wall from outside in: epidermis, endothecium, middle layers, tapetum. These four are always present in a young to mature anther.
Step 2: Now check each given option against this list. Epidermis, endothecium and middle layers are all part of that list.
Pericycle belongs to the vascular cylinder of roots and stems and forms lateral roots and part of secondary growth. It is never described as part of the anther.
Answer: Pericycle.