document.write( "Question 615055: the exterior of a regular polygon is 2/3 of its interior angle ,how many sides are their in the polygon.
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Algebra.Com's Answer #386909 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! the exterior of a regular polygon is 2/3 of its interior angle ,how many sides are their in the polygon. \n" ); document.write( "----------- \n" ); document.write( "the interior and corresponding exterior angl are supplementary \n" ); document.write( "ext = (2/3)interior \n" ); document.write( "ext + int = 180 \n" ); document.write( "---- \n" ); document.write( "Substitute for ext and solve for int. \n" ); document.write( "(2/3)int + int = 180 \n" ); document.write( "(5/3)int = 180 \n" ); document.write( "int = (3/5)180 \n" ); document.write( "int = 108 \n" ); document.write( "ext = 72 \n" ); document.write( "------- \n" ); document.write( "sum of the exterior angles = 360 degrees \n" ); document.write( "# of ext = 360/72 = 5 \n" ); document.write( "# of sides = 5 \n" ); document.write( "=============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "==================================== \n" ); document.write( " |