document.write( "Question 760100: A polygon has n sides. Two of its angles are right angles and each of the remaining angles is 144 degrees. Find the value of n. \n" ); document.write( "
Algebra.Com's Answer #462425 by josgarithmetic(39617)\"\" \"About 
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SIDES___________TOTAL DEGREES
\n" ); document.write( "3_______________180
\n" ); document.write( "4_______________180*2
\n" ); document.write( "5_______________180*3
\n" ); document.write( "6_______________180*4
\n" ); document.write( "n_______________180(n-2)\r
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\n" ); document.write( "\n" ); document.write( "You case indicates \"%28180%28n-4%29%29%2F%28n-2%29=144\".
\n" ); document.write( "You have 2*90 plus (n-4)*144 total degrees where n is also the count of the angles. The 144 degree angles will sum to \"144%28n-2%29\" degrees. You account for the triangles associated with these using \"180%28n-4%29\" degrees, because two OTHER angles are 90 degrees each.\r
\n" ); document.write( "\n" ); document.write( "15(n-4)=(n-2)12
\n" ); document.write( "5(n-4)=4(n-2)
\n" ); document.write( "5n-20=4n-8
\n" ); document.write( "n=20-8
\n" ); document.write( "n=12
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