# SOLUTION: Find the number of sides of the regular polygon whose interior angles each measure 156 degrees

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 Geometry: Polygons Solvers Lessons Answers archive Quiz In Depth

 Question 548094: Find the number of sides of the regular polygon whose interior angles each measure 156 degreesFound 2 solutions by Alan3354, oberobic:Answer by Alan3354(31538)   (Show Source): You can put this solution on YOUR website!Find the number of sides of the regular polygon whose interior angles each measure 156 degrees ------ Ext angle = 180 - Int angle = 24 n = 360/24 = 15 sides Answer by oberobic(2304)   (Show Source): You can put this solution on YOUR website!Total interior angles = (n-2)*180 . So, the average interior angle = ( (n-2)*180 ) / n . ((n-2)*180)/n = 156 . (n-2)*180 = 156n 180n -360 = 156n 24n = 360 n = 15 . The polygon has 15 sides.