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five lines of symmetry :)
It can have as many lines of symmetry as it has points.
Assuming it is regular, there should be 6 lines of symmetry, three running from a tip to the tip opposite it, and three through the points that the tips meet.
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It depends on the nature of the irregularities. If you have an octagon where each alternate side is equal then you can have 8 lines of symmetry.