document.write( "Question 1040556: the sum of the interior angles of a polygon is three times the sum of its exterior angles . Determine the number of sides of the polygon \n" ); document.write( "

Algebra.Com's Answer #655405 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "the sum of the interior angles of a polygon is three times the sum of its exterior angles . Determine the number of sides of the polygon
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document.write( "(n-2)*180 = 3*360  --->   (Everybody knows about the left side. It is the sum of internal angles of any n-sided polygon.\r\n" );
document.write( "                           Many know about the number 360 in the right side. 360° is the sum of the external angles of any n-sided polygon.)\r\n" );
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document.write( "n- 2 =  = 3*2 = 6  --->\r\n" );
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document.write( "n = 6 + 2 = 8.\r\n" );
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document.write( "Check.  (8-2)*180 = 6*180.   6*180 in the left = 3*360 in the right.   Yes!!!\r\n" );
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document.write( "Answer.  n = 8.   ( Octagon ! )\r\n" );
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