SOLUTION: Three of the exterior angles of an n-sided polygon are 15, 25, 70, and the remaining exterior angles are 50 each. Find the value of n.

Algebra ->  Polygons -> SOLUTION: Three of the exterior angles of an n-sided polygon are 15, 25, 70, and the remaining exterior angles are 50 each. Find the value of n.      Log On


   

Question 985335: Three of the exterior angles of an n-sided polygon are 15, 25, 70, and the remaining exterior angles are 50 each. Find the value of n.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
The exterior angles of any polygon have sum 360°.

3 of them are 15°, 25° and 70° and the other (n-3) exterior angles are 
50° each.

Sum of exterior angles = 15°+25°+70°+(n-3)*50° = 360°
                                110°+(n-3)*50° = 360°
                                     (n-3)*50° = 250°
                                    %28%28n-3%29%2A%2250%B0%22%29%2F%2250%B0%22%22%22=%22%22%22250%B0%22%2F%2250%B0%22
                                           n-3 = 5
                                             n = 8  


So the polygon has 8 sides.

Edwin