document.write( "Question 195892: I never get how to do these!! They so frustrating! I believe that there's a formula involved, though I'm not sure...\r
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document.write( "Each interior angle of a regular polygon measures 156°. How many sides does the polygon have?\r
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document.write( "A: 13
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document.write( "B: 14
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document.write( "C: 15
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document.write( "D: 16\r
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document.write( "It's not 14, I can tell you that. I don't know why it's not 14 though.
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document.write( "thank you!! :) \n" );
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Algebra.Com's Answer #146879 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! I never get how to do these!! They so frustrating! I believe that there's a formula involved, though I'm not sure... \n" ); document.write( "Each interior angle of a regular polygon measures 156°. How many sides does the polygon have? \n" ); document.write( "A: 13 \n" ); document.write( "B: 14 \n" ); document.write( "C: 15 \n" ); document.write( "D: 16 \n" ); document.write( "It's not 14, I can tell you that. I don't know why it's not 14 though. \n" ); document.write( "------------------- \n" ); document.write( "The sum of the interior angles of a polygon (all polygons) is \n" ); document.write( "180º*(n-2) (n is the number of sides) \n" ); document.write( "So, each angle is 180*(n-2)/n \n" ); document.write( "---------- \n" ); document.write( "156 = 180(n-2)/n \n" ); document.write( "156n = 180(n-2) \n" ); document.write( "156n = 180n - 360 \n" ); document.write( "-24n = -360 \n" ); document.write( "n = 15 \n" ); document.write( "15 sides, 15 angles \n" ); document.write( " \n" ); document.write( " |