document.write( "Question 892200: True or False
\n" ); document.write( "is it possible for each exterior angle of a regular polygon to be 8 degrees? \n" ); document.write( "

Algebra.Com's Answer #540364 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "Yes.  The sum of the exterior angles of any convex polygon is 360°.  Since this\r\n" );
document.write( "is a regular polygon the polygon has all its exterior angles the same, so each\r\n" );
document.write( "one would be , so we have the equation:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Multiply both sides by n\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Divide both sides by 8°\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So it has 45 sides.  It looks like this figure below, without the\r\n" );
document.write( "\"spokes\". Notice that the green lines are the extensions of two \r\n" );
document.write( "adjacent sides and the angle between those two green lines is an \r\n" );
document.write( "exterior angle of 8°.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Edwin

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

\n" );