document.write( "Question 1132997: one of the interior angle of a regular polygon is 80 degrees and each of the other interior angle is 128 degrees.find the number of sides of the polygon \n" ); document.write( "
Algebra.Com's Answer #750161 by Theo(13342)\"\" \"About 
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i believe the answer will be 6.\r
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\n" ); document.write( "\n" ); document.write( "if the internal angle is 80, then the external angle is 180 - 80 = 100.\r
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\n" ); document.write( "\n" ); document.write( "so one side of the polygon will have an external angle of 100 degrees.\r
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\n" ); document.write( "\n" ); document.write( "all the other sides of the triangle will have an external angle of 180 - 128 = 52 degrees.\r
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\n" ); document.write( "\n" ); document.write( "the sum of the external angles of a polygon is always 360 degrees.\r
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\n" ); document.write( "\n" ); document.write( "subtract 100 from 360 and you get 260.\r
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\n" ); document.write( "\n" ); document.write( "divide 260 by 52 and you get 5.\r
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\n" ); document.write( "\n" ); document.write( "there are 5 sides with an external angle of 52 degrees and 1 side with an external angle of 100 degrees for a total of 6 sides.\r
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