Final answer:
The membrane-enclosed organelles most likely evolved in a similar manner is chloroplasts and mitochondria
Step-by-step explanation:
In eukaryotic cells, chloroplasts and mitochondria most likely evolved in a similar manner through endosymbiosis with gram-negative bacteria. Chloroplasts are believed to have evolved from photosynthetic bacteria that were engulfed by a eukaryotic host cell and mitochondria are thought to have originated from aerobic bacteria. Both chloroplasts and mitochondria have double membranes and their own circular DNA, similar to prokaryotes.
This theory is supported by the fact that chloroplasts and mitochondria have their own DNA and can replicate independently within the cell. They also have similarities in terms of structure and function; both are involved in energy production, and both have their own ribosomes for protein synthesis. Additionally, both organelles have evolved in a way that allowed them to become specialized for their specific functions within the eukaryotic cell.
In conclusion, the best answer is: Chloroplasts and mitochondria.