Final answer:
The cat that Dwight tries to give Angela is named Garbage, although she later renames him as Bandit.
Step-by-step explanation:
The cat that Dwight tries to give Angela is named Garbage, although she later renames him as Bandit. In the season-four opener of The Office, Dwight offers to feed Angela's cat, Sprinkles, but accidentally kills her. He then attempts to replace Sprinkles with a farm cat named Garbage, but Angela ends their relationship over the incident.
In an attempt to make amends with Meredith, Michael sponsors a fun run for rabies. Meanwhile, it is revealed that Jim Halpert (John Krasinski) and Pam Beesly (Jenna Fischer) are dating, while Angela Martin (Angela Kinsey) is mad at Dwight Schrute (Rainn Wilson) for killing her cat Sprinkles.
Angela entrusts Sprinkles into Dwight's care while she's away only to find out when she gets back that Sprinkles has died. Although he tries to hide it, Dwight admits to killing Sprinkles with a lethal dose of poison and putting the cat into the freezer while still alive thinking it a kindness.
The last time Garbage is seen is when Angela allows Andy to take her on a date. Since then, every time we see Bandit, it's a different cat than Garbage and can be recognized by his fur pattern.