document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1102475>Question 1102475</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The measure of each interior angle of a regular polygon is 24 more than 38 times the measure of each exterior angle. Find the number of sides of the polygon.<BR>\n" );
document.write( "I attempted this by trying to solve for each interior angle.<BR>\n" );
document.write( "I+24=38E and got I=178<BR>\n" );
document.write( "Then, I entered that in [180(n-2)]/n =178. I got 180 and the answer should be 90. Where did I go wrong? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #717168 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=717168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The measure of each interior angle of a regular polygon is 24 more than 38 times the measure of each exterior angle. Find the number of sides of the polygon.<BR>\n" );
document.write( "I attempted this by trying to solve for each interior angle.<BR>\n" );
document.write( "I+24=38E and got I=178<BR>\n" );
document.write( "Then, I entered that in [180(n-2)]/n =178. I got 180 and the answer should be 90. Where did I go wrong?<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Int + Ext = 180<BR>\n" );
document.write( "I = 38E + 24<BR>\n" );
document.write( "--> 38E + 24 + E = 180<BR>\n" );
document.write( "39E = 156<BR>\n" );
document.write( "E = 4 degs<BR>\n" );
document.write( "sides = 360/E = 90 sides<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );