document.write( "Question 338847: Is it possible to have a regular polygon with an interior angle of 110 degrees? If not, why not? ... Im just not sure how to tackle this one. \n" ); document.write( "
Algebra.Com's Answer #242882 by Edwin McCravy(20062)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Each angle in an n-sided regular polygon must be \"180%28n-2%29%2Fn\"°.\r\n" );
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document.write( "We see if the equation\r\n" );
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document.write( "\"180%28n-2%29%2Fn\"\"%22%22=%22%22\"\"110\"\r\n" );
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document.write( "has a positive integer > 2 as a solution.\r\n" );
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document.write( "\"180%28n-2%29\"\"%22%22=%22%22\"\"110n\"\r\n" );
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document.write( "\"180n-360\"\"%22%22=%22%22\"\"110n\"\r\n" );
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document.write( "\"70n\"\"%22%22=%22%22\"\"360\"\r\n" );
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document.write( "\"n\"\"%22%22=%22%22\"\"360%2F70\"\r\n" );
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document.write( "\"n\"\"%22%22=%22%22\"\"36%2F7\"\r\n" );
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document.write( "\"n\"\"%22%22=%22%22\"\"5%261%2F7\"\r\n" );
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document.write( "So the answer is no because \"5%261%2F7\" is not a positive integer.\r\n" );
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document.write( "Edwin
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