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Define
all the five angles formed?with solution figure
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Answer:
the angles might be all different from each other; the situation is much more complicated. Can you prove that the angles in all five points still sum to 180 degrees?
Restrictions (to make clear that this is neither a maths problem [as opposed to a maths puzzle] nor an exercise in computation or advanced Euclidean geometry):
no arithmetic operations allowed (addition, multiplication, ...)
you may draw one new line-segment on the star, but no more than that
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