No, the letter G does not have any parallel lines, but there are a few ways of looking at it.
If you assume the arc of the letter (the part that makes the shape of a C) as one line, then the letter G doesn't have any parallel lines.
But...
If you assume the arc as to being a lot of individual lines, and NOT an arc, then it is likely that the letter G does have a parallel line or two.
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