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 #717172 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=717172\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E ALIGN=MIDDLE  ALT=\"E\"   DISABLED_style= \"max-width:90%; height:auto;\" >= measure of each exterior angle, and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=I ALIGN=MIDDLE  ALT=\"I\"   DISABLED_style= \"max-width:90%; height:auto;\" >= measure of each interior angle,<BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38E ALIGN=MIDDLE  ALT=\"38E\"   DISABLED_style= \"max-width:90%; height:auto;\" >= 38 times the measure of each exterior angle, and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38E%2B24 ALIGN=MIDDLE  ALT=\"38E%2B24\"   DISABLED_style= \"max-width:90%; height:auto;\" >= 24 more than 38 times the measure of each exterior angle.<BR>\n" );
document.write( "So, your equation should have been<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=I=38E%2B24 ALIGN=MIDDLE  ALT=\"I=38E%2B24\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "I do not know how you got <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=I=178 ALIGN=MIDDLE  ALT=\"I=178\"   DISABLED_style= \"max-width:90%; height:auto;\" > from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=I%2B24=38E ALIGN=MIDDLE  ALT=\"I%2B24=38E\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "but it is often easier to work with exterior angles,<BR>\n" );
document.write( "because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=nE=360%5Eo ALIGN=MIDDLE  ALT=\"nE=360%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > is much easier to remember and use<BR>\n" );
document.write( "than the unwieldy <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=nI=%28n-2%29180%5Eo ALIGN=MIDDLE  ALT=\"nI=%28n-2%29180%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );