document.write( "Question 1160206: Two interior angles of a polygon are 88˚ and 99˚, and each of the rest equals to 163˚. Find the number of sides of the polygon. \n" ); document.write( "

Algebra.Com's Answer #783447 by ikleyn(52777) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "88 + 99 + (n-2)*163 = (n-2)*180\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "88 + 99 + 163n - 2*163 = 180n - 2*180\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "88 + 99 - 2*163 + 2*180 = 180n - 163n\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "221 = 17n\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "  n = 221/17 = 13.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  13 sides.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );