document.write( "Question 998540: why is it not possible yo draw a regular polygon with 100 degree interior angles?
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Algebra.Com's Answer #616334 by ikleyn(52812)\"\" \"About 
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\n" ); document.write( "Answer.  It is not possible to draw a regular polygon with  100  degree interior angles because such a polygon does not exist.\r
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\n" ); document.write( "\n" ); document.write( "Let us assume that it does exist.\r
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\n" ); document.write( "\n" ); document.write( "Then \r
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\n" ); document.write( "\n" ); document.write( "100*n = 180*(n-2)     (it is the sum of interior angles in the left and in the right side). \r
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\n" ); document.write( "\n" ); document.write( "Now try to solve this equation for integer  n.\r
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\n" ); document.write( "\n" ); document.write( "100*n = 180*n - 360,\r
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\n" ); document.write( "\n" ); document.write( "80n = 360,\r
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\n" ); document.write( "\n" ); document.write( "but  360  is not multiple of  80.  Contradiction.\r
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\n" ); document.write( "\n" ); document.write( "The proof is completed.\r
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