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Providing that it is a regular 9 sided nonagon it will have 9 lines of symmetry
What is a nonagram? A nine pointed star, perhaps. In any case, a general nonagram, like a general (ie non regular) polygram(!) has NO lines of symmetry.
To calculate the measure of a central angle of a regular nine-sided polygon, divide 360 degrees by the number of sides. In this case, divide 360 by 9. The measure of the central angle of a regular nine-sided polygon is 40 degrees.
A nine sided shape that is called a regular nonagon.
Each interior angle of a regular nonagon measures 140 degrees.