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Any three angles that sum to 180 can form a triangle.
As many as you like. Wherever you have one triangle, you can draw a line from any vertex to the opposite side and so end up with one more triangle.
Yes, they can. A simple test would be that any two sides added together should be more than the third side. If not, then it cannot form a triangle.
They are the points where pairs of sides come together, just as they are in any triangle.
any three that connect