Step 1: Understanding the Concept
A biodegradable polymer breaks down by microbial action, for example the polyester PHBV.
Step 2: Check the structures
Option A shows repeating units with ester linkages containing methyl and ethyl groups, which is PHBV.\nOption B is polystyrene, C is a nitrile rubber-type polymer and D is PVC.
Final Answer:
The polyester PHBV shown in option A is biodegradable.
\[ \boxed{\text{(A) }\text{PHBV (the polyester structure shown)}} \]