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.
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five lines of symmetry :)
It can have as many lines of symmetry as it has points.
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A 10-point star has 10 lines of symmetry. Each line of symmetry passes through one point of the star and the midpoint of the opposite side, allowing for mirror symmetry across each line. Additionally, the star can be rotated in increments that align with its points, further supporting the symmetry.