If any one of them is longer than or equal to the sum of the other two, they can't form a triangle. If the lengths of the line segments are a, b and c, they form a triangle iff:
a + b > c
a + c > b
b + c > a
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Yes.
Those segments can form a triangle because the two smallest sides, 7 and 8, add together to make 15, which is greater than the longest side, 12.
No. 5+8 = 13 < 14 Any two sides of a triangle must add to more than the third side.
No. In order for three angles to form a triangle, they must collectively add up to 180 degrees (or pi radians).