document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=26294>Question 26294</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the sum of the angles of the points of a star? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #14146 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=14146\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The central part of the star is a regular pentagon.<BR>\n" );
document.write( "The sum of the angles of the pentagon is (5-2)(180)=3(180)=540 degrees<BR>\n" );
document.write( "Each of the angles of the pentagon is 540/5=108 degrees<BR>\n" );
document.write( "Each base angle of the point-triangles is a supplement or 72 degrees.<BR>\n" );
document.write( "So the two base angles of each point-triangle add to 144 degrees.<BR>\n" );
document.write( "That leaves 180-142=38 degrees for each point angle.<BR>\n" );
document.write( "The sum of the 5 point angles is 5(38)=190 degrees.\r<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );