There are 360 degrees in a circle.

I have said in the comment section but will say here too; my opponent has missed a round, however he did tell me about this and I just want viewers to know that I am okay with that. The below picture shows how the formula: 180 * (n - 2) provided by my opponent works. There will always be two less triangles than the number of sides. As I've proved earlier a triangle has 180 degrees, polygonas are made up of triangles, so if a polygon is made up of 3 triangles it has 3x 180 = 540 degrees. If a polygon is made up of 4 triangles it has 4x 180 = 720 degrees. So far no formula used to calculate angles have needed a circle to have 360 degrees - The calculations are all derived from both a straight angle and a triangle having 180 degrees. I can be sure these are correct because of the below proof: I was taught there are 360 degrees in a circle from a very early age, and that did help me to grasp what a degree measures but later in life I found it was untrue. There isn't even a need to "make up" a number of degrees in a circle because we don't write angles in more than 1 decimal place. We effectively only use a polygon with 647,640 degrees to make angle measurements. Instead of making a new unit for angle measurements it seems people have decided to just say a circle has 360 degrees without really thinking whether it does. Drawing an arch around angles encourages people to imagine the central angle is a circle, but there is no proof of this. I showed what happens when a formula is used to calculate the degrees in a circle; it doesn't work. This shows the number 360 has been given to a circle without any mathematical knowledge, or put another way because Babylonians who couldn't even calculate Pi accurately, believed this.My opponent says "A large portion of my opponent's argument uses this incorrectly applied interior angle sum formula", implying there is a correct way to use an interior angle sum formula. When formulas don't work, it is usually a good idea to use a tool like a ruler or protractor.A ruler can be used to measure the circumference of circles pretty accurately despite the circumference being curved. Using a protractor, see if you get a different measurement for the curved line. I don't think you will. If you try to measure the curved line with a protractor you should get 180 degrees, like the straight line. If any of the lines are extended the number of degrees does not change as the points making the line (or side) are parallel to each other. Even when the ends of the curved line meet the angle will still be the same.I have created some images below to hopefully help you understand infinity and why a circle has 180 degrees, the red lines show polygons - what most people imagine, but I've included some extra lines. The blue and green distances will remain the same when new sides are added. You may think that if I keep adding new sides I won't ever create a circle or curved lines and think it'll just look similar. But an infinite sided polygon will have black lines placed EVERYWHERE. So the circle I create is made up of the centres (big red dots) of the black straight lines which there are an infinite number of. Calculators always give the correct answer, but not necessarily to the correct question. Using a formula and multiplying 179.9... (or 180) by infinity will give the wrong answer. Most people think that a polygon with infinite sides will have lots of sides, and lots of angles. But the truth is it will have an infinite number of angles parallel to each other i.e. at 180 degrees just like a straight line. If a circle has 180 degrees, a straight angle won't be 90 degrees because I have used a straight angle of 180 degrees to determine the angle of a circle. The exterior angles of all polygons will add up to 360 degrees e.g. 3x 120 = 360, 4x 90 = 360, 5 x 72 = 360 etc. I showed this before but with internal angles. The reason they add up to 360 degrees is because polygons are "points". If you attempt to show the sum of the exterior angles of a circle you will just get ONE angle of 180 degrees, NOT 360 degrees like with the polygons shown, because the internal angle of a circle is 180 degrees. I could put a straight line through any shape and say it has 360 degrees but it won't mean the shape has 360 degrees. I do agree there are 90 degrees in a right angle and 180 degrees in a straight angle, but by application of those facts I come to a different conclusion.Suppose someone decided a circle should have 360 degrees, and they were going to work out how many degrees there are in a pentagon, how would they go about doing that step by step? Wouldn't you need to understand how to accurately draw polygons before you could divide a circle up?