Let there be a horizontal line L0 in a plane. A pair of parallel lines, L1 and L2, passes through this line in points A and B forming a pair of acute angles. Now draw a line L3 that intersects L1 in D and L0 in C, where C is between A and B. Now draw L4 which passes through B and is parallel to L3. From D, we now draw L5 which intersects L4 in E and L2 in F. In addition, <FDA is less than 180 degrees. Finally, we draw AE and CF. So, are AE and CF always parallel?