Final answer:
The most likely IP address of the first default gateway for transmitting data between two workstations is the gateway IP of your local subnet, typically found within your workstation's network settings.
Step-by-step explanation:
The subject of this question is related to networking within the field of Computers and Technology. When data is sent from one workstation to another within the same network, it typically passes through a network device known as a default gateway. The default gateway is often a router or switch that routes traffic from a local network to other networks or the internet.
In this case, assuming both your workstation and your supervisor's workstation are on the same local network, the IP address of the first default gateway that would accept and interpret the transmission is likely the configured gateway IP for your subnet. This is typically found within the same IP address range as your local network's addresses and can often be determined by looking at the network configuration settings on your workstation.
Without the actual IP addresses provided in the question, the specific gateway IP address cannot be stated. However, in a home or small office, it is commonly an address such as 192.168.1.1 or 10.0.0.1, and in a larger organization, it can be a more specific address allocated for the network's gateway router.