document.write( "Question 209050: Question: The measure of each interior angel of a regular polygon is eleven times that of an exterior angel. How many sides does the polygon have? \n" ); document.write( "
Algebra.Com's Answer #158020 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
The measure of each interior angle of a regular polygon is eleven times that of an exterior angle. How many sides does the polygon have?
\n" ); document.write( "------------------
\n" ); document.write( "ext + int = 180
\n" ); document.write( "11x + x = 180
\n" ); document.write( "12x = 180
\n" ); document.write( "x = 15 degrees (exterior angle measure)
\n" ); document.write( "============================================
\n" ); document.write( "The sum of the exterior angles = 360 degrees
\n" ); document.write( "# of exterior angles = 360/15 = 24
\n" ); document.write( "Therefore the number of sides is 24.
\n" ); document.write( "============================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "Reply to stanbon@comcast.net
\n" ); document.write( "
\n" ); document.write( "
\n" );