document.write( "Question 91851: #1 Question from the book:
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document.write( "A polygon has n sides. Four of its exterior angles are 12, 25, 32 and 41 and the remaining (n - 4) exterior angles are each equal to 50. Find n.\r
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document.write( "#2 Question on pentagon:
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document.write( "If the angles of a pentagon are x, 1.5x, 2.5x, 3x and (2x - 20), find the value of x.
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Algebra.Com's Answer #66732 by mathispowerful(115)![]() ![]() ![]() You can put this solution on YOUR website! #1)The sum of exterior angles of a polygon can be represented by 180n + 360 \n" ); document.write( "where n is the number of sides in polygon.\r \n" ); document.write( "\n" ); document.write( "in your case we need to add all angles together and let it equal to 180n+360,\r \n" ); document.write( "\n" ); document.write( "so 12+25+32+41+50(n-4)= 180n + 360\r \n" ); document.write( "\n" ); document.write( "110 + 50n - 200 = 180n + 360\r \n" ); document.write( "\n" ); document.write( "simplify it: 130n = -450\r \n" ); document.write( "\n" ); document.write( "n will be a negative number.\r \n" ); document.write( "\n" ); document.write( "conclusion, this polygon doesn't exist! (double check your numbers in the question.\r \n" ); document.write( "\n" ); document.write( "ACTUALLY, IT IS IMPOSSIBLE TO HAVE ALL EXTERIOR ANGLES SMALLER THAN 180 DEGREES\r \n" ); document.write( "\n" ); document.write( "THIS IS A BAD OR ILL QUESTION.\r \n" ); document.write( "\n" ); document.write( "Now let's try #2\r \n" ); document.write( "\n" ); document.write( "The sum of interior angles of a pentagon is 540\r \n" ); document.write( "\n" ); document.write( "x + 1.5x + 2.5x +3x + (2x - 20)= 540\r \n" ); document.write( "\n" ); document.write( "simplify it: 10x - 20 = 540\r \n" ); document.write( "\n" ); document.write( "10x = 560\r \n" ); document.write( "\n" ); document.write( "x = 56 \n" ); document.write( " |