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The theory that ancestors of eukaryotes took up oxygen using non-photosynthetic prokaryotic cells.

a) Endosymbiotic Theory
b) Cellular Respiration Theory
c) Oxygenation Hypothesis
d) Prokaryotic Assimilation

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Final answer:

The endosymbiotic theory suggests that eukaryotes evolved from prokaryotic cells through the process of one cell engulfing another. This theory explains the origin of mitochondria in eukaryotic cells.

Step-by-step explanation:

The theory that ancestors of eukaryotes took up oxygen using non-photosynthetic prokaryotic cells is known as the endosymbiotic theory. This theory suggests that eukaryotes may have evolved from one cell engulfing another and coevolving over time. According to this theory, mitochondria, which are responsible for producing ATP using aerobic respiration, may have originated from prokaryotic cells.

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