In the picture all of the red segments are of equal length and all of their endpoints lie on one of the two blue lines. Determine all possible values for the smaller angle between the blue lines.

(This problem is a special case of a problem discovered by Daniel Shapiro, professor of mathematics at Ohio State University. His problem generalizes a problem he saw years ago.)

I confess that I´m not trying to solve this problem, McWorter, but it is indeed a great problem.

I think (just think) that the problem could be solved with an auxiliary drawing of a rectangle where the major side is the line that joins the two above (where the two red lines reach the blue line).

Just a guess !!

Posted by pcbouhid on 2005-06-10 17:02:50