document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=336127>Question 336127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this problem: Two angles are complimentary. The sum of the measure of the first anagle and one-fourth the second angle is 66degrees. What is the measure of the smaller angle?<BR>\n" );
document.write( "What is the measure of the other angle whose sum is 90degrees? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #241066 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=241066\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two angles are complimentary<BR>\n" );
document.write( "this means: A+B=90<BR>\n" );
document.write( "---<BR>\n" );
document.write( "The sum of the measure of the first anagle and one-fourth the second angle is 66degrees<BR>\n" );
document.write( "This means:  A+(1/4)*B=66<BR>\n" );
document.write( "---<BR>\n" );
document.write( "you have two equations in two unknowns.<BR>\n" );
document.write( "Solve the A+B=90 for one of the angles (does not matter which, say A)<BR>\n" );
document.write( "A=90-B<BR>\n" );
document.write( "--<BR>\n" );
document.write( "Substitute A=90-B into second equation<BR>\n" );
document.write( "A+(1/4)*B=66;  (90-B)+(1/4)*B=66<BR>\n" );
document.write( "--<BR>\n" );
document.write( "solve for B <BR>\n" );
document.write( "90-(3/4)*B=66<BR>\n" );
document.write( "-(3/4)*B=66-90=-24<BR>\n" );
document.write( "B=(-24)*(-4/3)=32<BR>\n" );
document.write( "--<BR>\n" );
document.write( "substitute B=32 into A=90-B=90-32=58<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );