document.write( "Question 1131355: What are the measures of each interior angle and each exterior angle of regular nonagon ANJOLIQUE? \n" ); document.write( "

Algebra.Com's Answer #748008 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

The sum of the INterior angles of a n-sided polygon is given\r\n" );
document.write( "by the formula;\r\n" );
document.write( "\r\n" );
document.write( "     (n-2)×180° = the sum of the n INterior angles.\r\n" );
document.write( "\r\n" );
document.write( "A nonagon has 9 sides, so we substitute 9 for n:\r\n" );
document.write( "\r\n" );
document.write( "     (9-2)×180° = the sum of the 9 INterior angles.\r\n" );
document.write( "         7×180° = the sum of the 9 INterior angles.\r\n" );
document.write( "          1260° = the sum of the 9 INterior angles.\r\n" );
document.write( "\r\n" );
document.write( "Since the nonagon is a REGULAR nonagon, all of the INterior\r\n" );
document.write( "angles are equal, and since there are 9 of them, we divide the\r\n" );
document.write( "1260° by 9 and get 140° for each of the INterior angles.\r\n" );
document.write( "\r\n" );
document.write( "---------------------------------------------------------------\r\n" );
document.write( "\r\n" );
document.write( "The sum of the EXterior angles of every polygon is\r\n" );
document.write( "\r\n" );
document.write( "     360° = the sum of the 9 EXterior angles. \r\n" );
document.write( "\r\n" );
document.write( "Since the nonagon is a REGULAR nonagon, all of the EXterior\r\n" );
document.write( "angles are equal, and since there are 9 of them, we divide the\r\n" );
document.write( "360° by 9 and get 40° for each of the EXterior angles.\r\n" );
document.write( " \r\n" );
document.write( "Edwin

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

\n" );