When one species evolves into another, they will have very similar DNA. Due to MUTATIONS, the DNA would have changed. Overtime, there will be more differences between the species, and more differences in their DNA.
So species that are similar, and MORE CLOSELY RELATED to have more SIMILAR DNA BASE SEQUENCES.
They can use this to show common evolutionary ancestors, see how far back or close that was
There are millions of base sequences in every organism, so DNA contains alot of material that can show an organisms evolutionary history.
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