There are a number of theories: the ancient Babylonians counted in the sexagesimal system (counting in 60s). This was extended to 6*60 = 360, a number which was close to the number of days in the year. Also, 360 is divisible by 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20 etc which is convenient.
In any case, pure mathematicians do not measure angles in degrees - they use radians.
Chat with our AI personalities
The sum of the exterior angles of any polygon must be 360 degrees. Subject to that constraint, individual angles can have any measure between 0 and 360 degrees.
Exterior angles 360 degrees Interior angles 1260 degrees
The exterior angles of every polygon sum to 360 degrees. The interior angles of every quadrilateral sum to 360 degrees.
360 degrees
Interior angles add up to 1440 degrees Exterior angles add up to 360 degrees