MathDB

A convex hexagon

ABCDEF

satisfies the following conditions: 1)

AB\parallel DE

BC\parallel EF

, and

CD\parallel FA

. 2) The distances between these pairs of parallel lines are the same. 3) \angle FAB \equal{} \angle CDE \equal{} 90^\circ Prove that the diagonals

BE

and

CF

of the hexagon intersect with angle

45

degrees.

\bullet

Thank you dear Babis Stergiou for your translation. :P

Problem Statement