Final answer:
Eukaryotic nuclear genes are believed to have originated from a fusion of archaeal and bacterial organisms through endosymbiotic events.
Step-by-step explanation:
The source of eukaryotic nuclear genes is believed to be a combination of Archaea and Bacteria through endosymbiotic events. The nuclear genes are thought to have originated from an archaean ancestor with a cytoskeleton and the ability to divide its chromosomes mitotically. This archaean ancestor likely fused with a bacterial organism, resulting in the evolution of eukaryotic cells.