document.write( "Question 599144: For which polygon is the following property satisfied?
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document.write( "Interior angles are right angles.
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Algebra.Com's Answer #378847 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! We know that if a polygon has 'n' sides, then the measure of each exterior angle is 360/n degrees.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "But each exterior and corresponding interior angle are supplementary. So \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "90 + 360/n = 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve for n:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "90 + 360/n = 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "90n + 360 = 180n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "360 = 180n-90n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "360 = 90n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "360/90 = n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4 = n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "n = 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So there are 4 right angles and 4 sides.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So this polygon is a rectangle. \n" ); document.write( " |