Example 1 Fold the five "corners" (isosceles small triangles) of a regular pentagram along their bases, so that they form right dihedral angles with the original plane. Question: In the spatial figure thus formed, how many pairs of skew line segments are there?
The outer boundary of a pentagram is composed of 10 line segments forming a closed broken line. If these segments are alternately colored red and blue (the inner small pentagon is not colored), then among these 10 line segments, any pair of the same color are skew, while any pair of different colors are coplanar. Thus, we get $2 \mathrm{C}_{5}^{2}=20$ pairs of skew line segments.

Furthermore, each colored line segment is skew to exactly three sides of the inner small pentagon, resulting in 30 such pairs. Therefore, there are a total of 50 pairs of skew line segments.