document.write( "Question 627741: a regular polygon has it exterior angle been 100 degree less than it interior angle.find:
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document.write( "1.the number of sides of the polygon
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document.write( "2.the sum of all the interior angles \n" );
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Algebra.Com's Answer #395097 by reviewermath(1029) You can put this solution on YOUR website! Let x = interior angle \n" ); document.write( "so 180 - x = exterior angle \n" ); document.write( "180 - x = x - 100 \n" ); document.write( "-2x = -280 \n" ); document.write( "x = 140 \n" ); document.write( "the exterior angle measures 180 - x = 180 - 140 = 40 degrees \n" ); document.write( "To get the number of sides, divide 360 degrees by 40 degrees, the result is 9.\r \n" ); document.write( "\n" ); document.write( "1. the number of sides is 9, its a nonagon. \n" ); document.write( "2. the sum of all interior angles is 180(9-2) = 1260 degrees. \n" ); document.write( " |