document.write( "Question 1063641: Please heip me solve:each exterior angle of a regular polygon is 24degree.how many sides has the polygon. \n" ); document.write( "
Algebra.Com's Answer #678753 by KMST(5328)\"\" \"About 
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An exterior angle is the change in direction you make when going around the polygon,
\n" ); document.write( "as you \"turn the corner\" at the corresponding vertex.
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\n" ); document.write( "A complete, \"360%5Eo\" turn, around the polygon
\n" ); document.write( "is the sum of all those angles.
\n" ); document.write( "So, for a regular polygon with \"n\" sides, each exterior angle,\"E\" ,
\n" ); document.write( "is such that \"n%2AE=360%5Eo\" <--> \"n=360%5Eo%2FE\" .
\n" ); document.write( "In this case,
\n" ); document.write( "\"n=360%5Eo%2F24%5Eo=highlight%2815%29\" ,
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