document.write( "Question 1010975: sum of interior angels and
\n" ); document.write( "the sum of exterior angles of polygon are in
\n" ); document.write( "the ratio 9:2.find the sides of regular
\n" ); document.write( "polygon. \n" ); document.write( "
Algebra.Com's Answer #626491 by mathmate(429)\"\" \"About 
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\n" ); document.write( "Question:
\n" ); document.write( "Sum of interior angles and
\n" ); document.write( "the sum of exterior angles of polygon are in
\n" ); document.write( "the ratio 9:2.find the sides of regular
\n" ); document.write( "polygon.
\n" ); document.write( "
\n" ); document.write( "Solution:
\n" ); document.write( "Sum of exterior angles, Se= 360 degrees (for any polygon)
\n" ); document.write( "Sum of interior angles, Si = 180(n-2) degrees
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\n" ); document.write( "Given that Si/Se=9/2,
\n" ); document.write( "cross multiply and solve for n:
\n" ); document.write( "2Si=9Se => 360(n-2)=9*(360) => n-2=9 => n=11
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\n" ); document.write( "Check:
\n" ); document.write( "180(11-2)=9*180
\n" ); document.write( "360=2*180
\n" ); document.write( "So the ratio is 9:2
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\n" ); document.write( "Answer:
\n" ); document.write( "The number of sides of the given polygon is 11.
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