document.write( "Question 493661: a regular n-gon has a vertex angle that measure 140 degrees. based on the measure for this n-gon find:
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document.write( "how many sides are there for this n-gon?
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document.write( "what is the measure of an exterior angle?
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document.write( "what is the measure of a central angle? \n" );
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Algebra.Com's Answer #335420 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! a regular n-gon has a vertex angle that measure 140 degrees. based on the measure for this n-gon find: \n" ); document.write( "what is the measure of an exterior angle? \n" ); document.write( "Ans: 180-140 = 40 \n" ); document.write( "----------- \n" ); document.write( "how many sides are there for this n-gon? \n" ); document.write( "Since the sum of the exterior angles is 360, \n" ); document.write( "# of ext. angles = 360/40 = 9 \n" ); document.write( "= # of sides \n" ); document.write( "---------------------------- \n" ); document.write( "what is the measure of a central angle? \n" ); document.write( "Draw the picture and you will see \n" ); document.write( "9 issosceles triangles. \n" ); document.write( "The equal angles are (1/2)(140) = 70 \n" ); document.write( "Central angle = 180-2(70) = 40 degrees \n" ); document.write( "=========================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============ \n" ); document.write( " \n" ); document.write( " |