The equation s = 180n – 360 gives the sum of the interior angles of a polygon with n sides. Josh wants to reverse the process by finding the number of sides of a polygon when the sum of the interior angles is given (rearrange the equation to be solved for n).

Which equation below will allow him to do this correctly?

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The equation which can be used to find the number of sides of a polygon when the sum of the interior angles is given is n = (s + 360) / 180

How to rearrange equation

s = 180n – 360

  • Add 360 to both sides

s + 360 = 180n

  • divide both sides by 180

(s + 360) / 180 = n

n = (s + 360) / 180

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