Delineating maximal angles

May 2015
516
32
Arlington, VA
When do three similar lines describe angles totaling 2160 degrees?
 

Country Boy

Math Team
Jan 2015
3,261
899
Alabama
What do you mean by "similar lines"? I could see saying that two line segments are "similar" if and only if they have the same length but that does not apply to lines. And, as for "angles delineated", what if the lines are parallel?
 
May 2015
516
32
Arlington, VA
The lines can be parallel yet cross each other. By "similar" I mean they have the same curvature and relative symmetry.
 

Country Boy

Math Team
Jan 2015
3,261
899
Alabama
So you were talking about curves, not "lines" in the usual Euclidean sense.