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n= number of sides
what is the number of sides of a regular polygon when the interior angle is 170°?
180 (N - 2) N = 170 multiply both sides by N
180 (N - 2) = 170N simplify
180N - 360 = 170N subtract 170N from both sides....add 360 to both sides
10N = 360 divide both sides by 10
N = 36 (sides)