document.write( "Question 335576: The measure of each interior angle of a regular polygon is 14 times the measure of an exterior angle. How many sides does the polygon have? \n" ); document.write( "
Algebra.Com's Answer #240561 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
The measure of each interior angle of a regular polygon is 14 times the measure of an exterior angle. How many sides does the polygon have?
\n" ); document.write( "----------------------
\n" ); document.write( "x + 14x = 180
\n" ); document.write( "15x = 180
\n" ); document.write( "x = 12 degrees (this is the exterior angle)
\n" ); document.write( "---------------------
\n" ); document.write( "Fact: The sum of all the exterior angles is 360 degrees.
\n" ); document.write( "---
\n" ); document.write( "# of exterior angles = 360/12 = 30
\n" ); document.write( "----
\n" ); document.write( "# of sides = # of exterior angles = 30
\n" ); document.write( "========================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );