document.write( "Question 1173718: Find the value of each exterior angle in a regular decagon. \n" ); document.write( "

Algebra.Com's Answer #799012 by ikleyn(52817) $\"\"$ $\"About$

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

\r\n" );
document.write( "\r\n" );
document.write( "Decagon has 10 sides.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The sum of the interior angles of any convex polygon is  (n-2)*180  degrees, where n is the number of sides.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "THEREFORE, for the regular decagon, the sum of its interior angles is  \r\n" );
document.write( "\r\n" );
document.write( "     degrees = 8*180 degrees = 1440 degrees.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence, each individual interior angle is  1400/10 = 144  degrees.    ANSWER\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" );