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°
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)