document.write( "Question 1063188: a regular polygon of n-sides is such that each interior angle is 120 degree greatet than the exterior angles. find
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document.write( "1. the value of n
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document.write( "2. the sum of all the interior angled. \n" );
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Algebra.Com's Answer #678225 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! The exterior angles are x \n" ); document.write( "The interior angles are x+120 \n" ); document.write( "the two add to 180 degrees. \n" ); document.write( "Therefore, 2x+120=180 \n" ); document.write( "2x=60 \n" ); document.write( "x=30 degrees exterior angles \n" ); document.write( "all of the exterior angles (n) add to 360 degrees, \n" ); document.write( "Therefore, 360/30=12 sides \n" ); document.write( "(n-2)*180 is their sum or 1800 \n" ); document.write( "150 degrees is an interior angle, and 12 of them add to 1800 degrees. \n" ); document.write( " \n" ); document.write( " |