You can divide 360 a lot of ways and get nice whole numbers, and that’s nice enough that people stuck with it. The French did some hokey pokey with a 100^o right angle around when they invented the metric system but that part didn’t really stick except for civil engineers who measure the steepness of a hill in percent (they also did some weird stuff making clocks and calendars based on making everything nice multiples of ten that didn’t stick either).
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