Question 1
Given $n$ points in space such that the triangle formed from any three of the points has an angle greater than $120$ degrees. Prove that the points can be labeled $1, 2, 3, \ldots, n$ so that the angle defined by $i$, $i+1$, $i+2$ is greater than $120$ degrees for $i = 1, 2, \ldots, n-2$.