document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=760100>Question 760100</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A polygon has n sides. Two of its angles are right angles and each of the remaining angles is 144 degrees. Find the value of n. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #462424 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=462424\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the formula that states that the sum of the angles of an n-sided polygon is given by<BR>\n" );
document.write( "(1) S = 180*(n - 2)<BR>\n" );
document.write( "We know that the sum is<BR>\n" );
document.write( "(2) S = 90 + 90 + (n - 2)*144 where the last expression represent the fact that the remaining non-right angles (n-2) are each 144 degrees.<BR>\n" );
document.write( "Therefore setting (2) equal to (1) we get<BR>\n" );
document.write( "(3) S = 90 + 90 + (n - 2)*144 = 180*(n - 2) or<BR>\n" );
document.write( "(4) 180 = (n - 2)*(180 - 144) or<BR>\n" );
document.write( "(5) 180 = 36*(n - 2) or<BR>\n" );
document.write( "(6) n - 2 = 180/36 or<BR>\n" );
document.write( "(7) n - 2 = 5 or<BR>\n" );
document.write( "(8) n = 7<BR>\n" );
document.write( "Answer: The polygon has seven sides. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );