document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=835311>Question 835311</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help understanding and setting up this problem:<BR>\n" );
document.write( "The exterior angles of a convex pentagon measures (18x+12) , 16x, (8x+6), (10x-12), and (5x+12). Determine the measure of the largest interior angle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #503430 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=503430\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Q:<BR>\n" );
document.write( "The exterior angles of a convex pentagon measures (18x+12) , 16x, (8x+6), (10x-12), and (5x+12). Determine the measure of the largest interior angle<BR>\n" );
document.write( "---------------------------------------------------<BR>\n" );
document.write( "A:<BR>\n" );
document.write( "(18x+12) + 16x + (8x+6) + (10x-12) + (5x+12) = 360<BR>\n" );
document.write( "57x + 18 = 360<BR>\n" );
document.write( "x = (360 - 18)/57 = 6<BR>\n" );
document.write( "Therefore,<BR>\n" );
document.write( "18x+12 = 18(6)+12 = 120 degrees<BR>\n" );
document.write( "16x = 16(6) = 96 degrees<BR>\n" );
document.write( "8x + 6 = 8(6) + 6 = 54 degrees<BR>\n" );
document.write( "10x - 12 = 10(6) - 12 = 48 degrees<BR>\n" );
document.write( "5x + 12 = 5(6) + 12 = 42 degrees \r<BR>\n" );
document.write( "\n" );
document.write( "The smallest exterior angle measures 42 degrees.<BR>\n" );
document.write( "Therefore, the largest interior angle measures 180 - 42 = 138 degrees </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );