document.write( "Question 109127: Please help me answer or solve this question: \r
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document.write( "How many sides does a polygon have if the measure of each interior angle is 8 times the measure of each exterior angle? \r
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document.write( "It would be very helpful if you could explain the process that you took to solve this problem.\r
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document.write( "Thanks in advance,\r
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document.write( "Christine \n" );
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Algebra.Com's Answer #79580 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! How many sides does a polygon have if the measure of each interior angle is 8 times the measure of each exterior angle? \n" ); document.write( "------------- \n" ); document.write( "Draw the figure of an exterior angle and its corresponding \n" ); document.write( "interior angle. Notice that they are supplementary. \n" ); document.write( "--------- \n" ); document.write( "Let the exterior angle have measure \"x\"; The interior angle has measure \"8x\". \n" ); document.write( "EQUATION: \n" ); document.write( "x + 8x = 180 \n" ); document.write( "9x = 180 \n" ); document.write( "x = 20 degrees (measure of one of the exterior angles. \n" ); document.write( "-------------- \n" ); document.write( "Fact: The sume of the exterior angles of a polygon is 360 degrees. \n" ); document.write( "-------------- \n" ); document.write( "EQUATION: \n" ); document.write( "# of sides = 360/20 = 18 sides \n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |