Another Way
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I was just thinking of how the professor was talking about the angle 180 and 360 and thought of another proof which I think may work. Can someone verify it?
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whoa....
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@angeliccanary That would definitely work! You found that the three angles, 180-a, 180-b, and 180-y must add to 360 degrees because they form a "full rotation." Actually, some people go the opposite way: they start with the fact that the angles in a triangle add to 180 degrees, and use that to actually prove that the exterior angles must add to 360 degrees... can you see how?
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No offence but can you make the pic less messy so I can read it? I don't have good eyesight.