"There aren't 360 Degrees in a Circle"

Thank you for providing images, (I will learn how to put them on one day). I have explained that the central angle is the sum of angles on both sides of a line, and because a straight angle has 180 degrees, the central angle has 2 x 180 = 360 degrees. I have never said that a circle cannot have a "central" angle of 360 degrees. The number of degrees a polygon has is the sum of its interior angles. To calculate the number of degrees a polygon has (including a circle) we add all the interior angles together, e.g. a pentagon has 5 x 108 = 540 degrees. This method is used to define the number of degrees a shape has, strangely my opponent does not wish to talk about interior angles, believing them to be irreverent. With an infinite sided polygon (a circle), one of it's infinite interior angles is 179.9... which mathematicians say is another way of saying 180 degrees. Multiplying 180 degrees by infinity or one (number of sides) will give 180 degrees. I understand that any number x infinity equals infinity however when you have a straight angle it doesn't matter how many times you multiply it by; it can't produce any more angles, as any additional sides will be parallel. The central angle is not really a shape, we are simply taught to believe it is and that the shape is a circle. From an early age we draw a number of small arcs inside polygons which make up a circle, so we imagine a circle has 360 degrees. If the sum of the interior angles of a circle were 360 exactly like a square has 360 degrees then it would be correct to say a circle has 360 degrees, but the internal angle of a circle is 180 degrees. If I say 'the central angle "is" a square' that would make sense. But it wouldn't make much sense to say 'the central angle "is" a circle'. When someone says a circle has 360 degrees what they are saying is the central angle"is" a circle. A circle is defined as being a 360th part of a circle. This definition has been used ever since Babylonians imagined the central angle to be a circle due to being unable to calculate the internal angle of a circle. Imagination doesn't make something a fact. If they imagined the central angle to be an octagon and chose to define an octagon as being a 360th part of an octagon it wouldn't mean an octagon has 360 degrees when they have defined a straight angle as having 180 degrees. So why would a circle have 360 degrees? I understand the difference between central and interior angles, this should be evident when I calculated interior angles. It would be extremely difficult to calculate interior angles without any knowledge of central angles. Infinite angles of 180 degrees means a shape has exactly one angle of 180 degrees, Proving a circle has a central angle of 360 degrees or any shape for that matter does not prove it has 360 degrees. E.g. I could prove an octagon has a central angle of 360 degrees but it wouldn't prove an octagon has 360 degrees. To sum up, the number of degrees a shape is said to have is determined by the sum of its interior angles, which in the case of a circle is 179.9... (or 180) degrees, and not 360 degrees. This conclusion has been reached by using mathematically coherent reasoning. I tank my opponent for having this debate, and ask voters to vote on this basis.