It doesn't if it's a regular nonagon.
If it's irregular, then it can, but it doesn't have to.
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when you have 2 lines such as a and band they are across each other and do not tuch and there measure (if any ) are added up = 180 then it is parrel
Assuming parrel is an approximation to parallel, the answer is a parallelogram, and irregular vesions of pentagon, hexagon etc.
Many quadrilaterals have 2 parallel lines. Trapezoids, for instance.
A nine sided nonagon has 27 diagonals
Two lines that run side by side but will never run into each other, like yellow lines on a road.