A diagonal of a cube is a line segment of maximum length whose endpoints are vertices of the cube. To the nearest degree, what is the angle of intersection Ѳ,

Question

A diagonal of a cube is a line segment of maximum length whose endpoints are vertices of the cube. To the nearest degree, what is the angle of intersection Ѳ, 
0 < Ѳ <= 90° between two distinct diagonals of the same cube?

Steve · Answer

This problem is discussed at https://answers.yahoo.com/question/index?qid=20101127042533AA17HTY