SOLUTION: A polygon has n sides. Four of its exterior angles are 12, 25, 32 and 41 and the remaining (n - 4) exterior angles are each equal to 50. Find n.

Algebra ->  Polygons -> SOLUTION: A polygon has n sides. Four of its exterior angles are 12, 25, 32 and 41 and the remaining (n - 4) exterior angles are each equal to 50. Find n.       Log On


   

Question 91901: A polygon has n sides. Four of its exterior angles are 12, 25, 32 and 41 and the remaining (n - 4) exterior angles are each equal to 50. Find n.

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of the exterior angles of a polygon is 360 ... so 12+25+32+41+50(n-4)=360 ... 110+50n-200=360 ... 50n=450 ... n=9