How do the hypothesis of microspheres and the rna world hypothesis build off of each other?
microspheres were important for storing and releasing energy for surrounding organisms that contained rna.
nonorganic molecules self-replicated within the early microspheres, similar to the way cells divide.
replicating rna molecules transformed into dna within the microspheres.
when microspheres split, the genetic coding in self-replicating rna would pass to the newly formed microspheres.

Explanation:

Microspheres were spherical bodies with metabolic abilities that could successfully sustain their existence. However they did not contain any genetic material. Which means that they could not replicate or pass off their parts to their successive generations.

But they had no way to evolve since they could not pass off any genetic material to their offspring's. This is why RNA came into existence. RNA enabled an Organism to store its genetic material into nucleic acids, that could be passed on to generations to come. This is also how they could evolve into more complex organisms.