document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036072>Question 1036072</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The new community swimming pool is pentagonal in a shape with three interior angles of 105 102 104 respectively. The other two interior angles have measures of 8x-11 and 4x. Find the measure of two missing angles<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #650663 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=650663\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The number of degrees in a pentagon is found by 180(n-2) = 180(5-2) = 180(3) = 540 degrees.  Since 311 degrees are spoken for in the three given angles, the two missing one must sum up to 540-311 = 229 degrees.  Thus we write<BR>\n" );
document.write( "8x - 11 + 4x = 229<BR>\n" );
document.write( "12x - 11 = 229<BR>\n" );
document.write( "12x = 240<BR>\n" );
document.write( "x = 20<BR>\n" );
document.write( "so that the two angles are<BR>\n" );
document.write( "8(20) - 11 = 149 degrees and<BR>\n" );
document.write( "4(20) = 80 degrees </SPAN>\n" );
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