document.write( "Question 1042073: The nine-pointed star shown here has a regular nonagon at its center. What is the measure of each angle at the tips of the star to the nearest .1°?\r
\n" ); document.write( "\n" ); document.write( "picture:
\n" ); document.write( "http://ezto.mheducation.com/wwtb/1259292804/chap10/sect2/prob26/92263.jpg \n" ); document.write( "
Algebra.Com's Answer #656976 by ikleyn(52790)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "The nine-pointed star shown here has a regular nonagon at its center. What is the measure of each angle at the tips of the star to the nearest .1°?\r
\n" ); document.write( "\n" ); document.write( "picture:
\n" ); document.write( "http://ezto.mheducation.com/wwtb/1259292804/chap10/sect2/prob26/92263.jpg
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "1.  The interior angle of a regular nonagon (9-sided regular polygon) is\r\n" );
document.write( "\r\n" );
document.write( "    \"%28180%5Eo%2A%289-2%29%29%2F9\" = 20°*7 = 140°.\r\n" );
document.write( "\r\n" );
document.write( "2.  Hence, the exterior angle of a regular nonagon is 180° - 140° = 40°.\r\n" );
document.write( "\r\n" );
document.write( "3.  If you look into the figure under the link, you will see that the angle at the tips of the star is 180° - 40° - 40° = 100°.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Answer. The angle at the tips of the star is 100°.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );