document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=500160>Question 500160</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the measures of an angle and one third a second angle is 32 degrees. If the angles are complementary, what are their measures? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #338242 by </B><A HREF=/tutors/aboutme.mpl?userid=cleomenius><B>cleomenius(959)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=cleomenius><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=cleomenius><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=338242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x + 1/3y = 32<BR>\n" );
document.write( "multiply this equation by 3.<BR>\n" );
document.write( "3x + y = 96<BR>\n" );
document.write( "x + y = 90<BR>\n" );
document.write( "multiply the second equation by -1 and add.<BR>\n" );
document.write( "2x  = 6<BR>\n" );
document.write( "x = 3 degrees; the smaller angle.<BR>\n" );
document.write( "the complement is 87 degrees.<BR>\n" );
document.write( "1/3 87 = 29 + 3 = 32<BR>\n" );
document.write( "This does check.<BR>\n" );
document.write( "Cleomenius<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );