document.write( "Question 1026777: A polygon has n sides.one of its interior angles is 126 while the other angles are each equal to 162,find the value of n. \n" ); document.write( "

Algebra.Com's Answer #642079 by ikleyn(52847) $\"\"$ $\"About$

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\n" ); document.write( "A polygon has n sides. One of its interior angles is 126 while the other angles are each equal to 162. Find the value of n.
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document.write( "126 + (n-1)*162 = (n-2)*180.\r\n" );
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document.write( "Left side is the sum of interior angles of the given n-gon.\r\n" );
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document.write( "Right side is the sum of interior angles of the general n-gon.\r\n" );
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document.write( "Solve for n and obtain the answer.\r\n" );
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document.write( "126 - 162 + 2*180 = 180n -162n,\r\n" );
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document.write( "324 = 18n,\r\n" );
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document.write( "n =  = 18.\r\n" );
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