This problem is very difficult to imagine without the
figure. However I dug up on other sources and I think I found the correct
figure to work with (see the attached pic).
We can see that in the figure, the hexagon is inscribing the
pentagon. What is meant here to be lines of reflection simply means lines of
symmetry. If we take on the hexagon alone, there are a lot of lines of
symmetry. We can create the line intersecting E & B and the figure would
still be symmetrical on both sides or D & A, F & C and etc. So there
are a lot for hexagon alone.
However in this case, our lines of symmetry is made limited
by the presence of the pentagon. If we slice the pentagon into two, the only
line of symmetry we could create would be the line intersecting O and the
median of LM. Other lines would not create a symmetrical half.
Therefore the line of reflection is only 1.
