document.write( "Question 1011166: A regular polygon's interior angle is 8 times as large as its exterior angle \n" ); document.write( "
Algebra.Com's Answer #626756 by MathTherapy(10552)\"\" \"About 
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A regular polygon's interior angle is 8 times as large as its exterior angle
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If number of sides are required, then read on!\r
\n" ); document.write( "\n" ); document.write( "Let number of sides be n
\n" ); document.write( "A regular polygon has equal angles and sides
\n" ); document.write( "Therefore, one of its exterior angles is: \"360%2Fn\" (sum of exterior angles of a polygon is \"360%5Eo\"), and one of its interior angles is: \"180+-+360%2Fn\"
\n" ); document.write( "We then get: \"180+-+360%2Fn+=+8%28360%2Fn%29\"
\n" ); document.write( "\"180+-+360%2Fn+=+2880%2Fn\"
\n" ); document.write( "180n – 360 = 2,880 ------ Multiplying by LCD, n
\n" ); document.write( "180n = 2,880 + 360
\n" ); document.write( "180n = 3,240
\n" ); document.write( "n, or number of sides = \"3240%2F180\", or \"highlight_green%2818%29\" \n" ); document.write( "
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