SOLUTION: I never get how to do these!! They so frustrating! I believe that there's a formula involved, though I'm not sure... Each interior angle of a regular polygon measures 156°. How

Algebra ->  Algebra  -> Polygons -> SOLUTION: I never get how to do these!! They so frustrating! I believe that there's a formula involved, though I'm not sure... Each interior angle of a regular polygon measures 156°. How      Log On

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 Geometry: Polygons Solvers Lessons Answers archive Quiz In Depth

 Question 195892: I never get how to do these!! They so frustrating! I believe that there's a formula involved, though I'm not sure... Each interior angle of a regular polygon measures 156°. How many sides does the polygon have? A: 13 B: 14 C: 15 D: 16 It's not 14, I can tell you that. I don't know why it's not 14 though. thank you!! :)Answer by Alan3354(30993)   (Show Source): You can put this solution on YOUR website!I never get how to do these!! They so frustrating! I believe that there's a formula involved, though I'm not sure... Each interior angle of a regular polygon measures 156°. How many sides does the polygon have? A: 13 B: 14 C: 15 D: 16 It's not 14, I can tell you that. I don't know why it's not 14 though. ------------------- The sum of the interior angles of a polygon (all polygons) is 180º*(n-2) (n is the number of sides) So, each angle is 180*(n-2)/n ---------- 156 = 180(n-2)/n 156n = 180(n-2) 156n = 180n - 360 -24n = -360 n = 15 15 sides, 15 angles