\"\"

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The measure of an interior angle is 170.

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Sum of the measures of interior angles is (170)n.

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The sum of the measures of interior angles of a polyon is \"\".

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\"\"                     (Interior angle sum theorem)

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\"\"            (Substitute \"\")

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\"\"               (Distributive property)

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\"\"          (Subtract 170n from each side)

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\"\"                       (Subtract: \"\")

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\"\"                            (Add 360 to each side)

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\"\"                                  (Divide each side by 10)\"\"

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The number of side in the polygon is 36.