Doesn't look to me that it has a single solution either unless I am missing something. If I understand the diagram correctly the upper and lower lines are parallel but unless the intersection point is perpendicular then I don't see a single solution. I don't see anything that would define the distance between the parallel lines.
Does the little > on the top and bottom line mean something?
Is "x" the whole line or just the segment from the 17 line to the intersection in the middle?
The center intersection looks perpendicular, is it meant to be?
Does the little > on the top and bottom line mean something?
Is "x" the whole line or just the segment from the 17 line to the intersection in the middle?
The center intersection looks perpendicular, is it meant to be?
The > means that the two lines are parallel. Since the 14 is only to the intersection of the lines, I would assume that x would also just be the first line segment. Since there is no specific indication that the intersecting lines are perpendicular, I would say that you can't assume that they are.
I think that you can solve it just regarding the top lines as a triangle and disregarding the lower lines. Some things that will help are that a+b+c=180, where a, b and c are interior angles in the triangle. Also, if I remember my geometry correctly, a/14 = b/x = c/17 if a is the interior angle opposite the side that is of length 14, b is the interior angle opposite of x, and c is the interior angle opposite of 17.
Another equation that might help is 17^2=14^2+x^2-2(17)(14)(x)*cos(c).
I just don't have the time to solve the equations.