document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=254060>Question 254060</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In an equangular polygon, the measure of each exterior angle is 25% of the measure of each interior angle. What is the name of the polygon?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #186394 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=186394\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the exterior angle<BR>\n" );
document.write( "x/(180-x)=1/4 proportion<BR>\n" );
document.write( "4x=180-x multiply each side by 4(180-x)<BR>\n" );
document.write( "5x=180<BR>\n" );
document.write( "x=36<BR>\n" );
document.write( "180-36=144 interior angle<BR>\n" );
document.write( "180(n-2)/n=144 the number of sides is n.<BR>\n" );
document.write( "180n-360=144n<BR>\n" );
document.write( "36n=360<BR>\n" );
document.write( "n=10<BR>\n" );
document.write( "The polygon is a decagon. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );