Essellation Triangle Game

The Essellation Triangle Game is where everyone gets a random set of triangles and, in turn, puts their triangle down so one edge lines up perfectly with a triangle laid before. The first person to get rid of all their triangles wins. Note that some triangles have a 60 degree angle (a=acute) and others have a 120 degree angle (o=obtuse); each of these are anti-Pythagorean and are made from Eisenstein triples. Interestingly, some triangles with a 60 degree angle also have an obtuse angle within them, and the triangles with a 120 obtuse angle always have a pair of acute angles, and if that's not right, so be it.