How was the 1° angle constructed for the first time before protractors became a thing?

Question

It is a widely known fact that any arbitrary angle cannot be constructed using the ancient Greek method of only using a compass and an unmarked straightedge. However, between then and now, we have invented countless instruments to construct and measure any arbitrary angle to desired precision, protractors being one of the earliest and the most popular. But for this development, humans must have figured out how to make a 1° angle reference, without an existing reference. I'm assuming it was similar to other methods used to circumvent other problems unsolvable by Greek methods, such as Neusis construction for the trisection of an angle. What was this method for a 1° angle? I cannot find any sources that would detail this historical aspect of angle measurement or even a modern method that isn't just "use a protractor". Any direction towards the answer would be helpful.