SOLUTION: Find the measure, in degrees, of the largest exterior angle of a convex polygon whose exterior angles have measures in the ratio 1:2:3:4:5. My work: 15x = 180 x = 12 ?

Algebra ->  Polygons -> SOLUTION: Find the measure, in degrees, of the largest exterior angle of a convex polygon whose exterior angles have measures in the ratio 1:2:3:4:5. My work: 15x = 180 x = 12 ?      Log On


   

Question 79594: Find the measure, in degrees, of the largest exterior angle of a convex polygon whose exterior angles have measures in the ratio 1:2:3:4:5.
My work: 15x = 180 x = 12 ?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the measures of the exterior angles of a convex polygon= 360 degrees.
So 15x=360
x=24
"5x" is the largest of the exterior angles.
5x=5*24=120 degrees.
The larest exterior angle is 120 degrees.
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Cheers,
Stan H.