document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=367291>Question 367291</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A and B are complementary angles.  If the measure of angle A is increased 9 degrees and the measure of angle B is decreased 15 degrees, then the measure of each of the two angles will be the same.  What are the measures of angle A and B? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #261875 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=261875\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A+9=B-15<BR>\n" );
document.write( "A+B=90 OR A=90-B<BR>\n" );
document.write( "(90-B)+9=B-15<BR>\n" );
document.write( "90-B+9=B-15<BR>\n" );
document.write( "-B-B=-15-90-9<BR>\n" );
document.write( "-2B=-114<BR>\n" );
document.write( "B=-114/-2<BR>\n" );
document.write( "B=57 DEGREES FOR THE LARGER ANGLE.<BR>\n" );
document.write( "A=90-57<BR>\n" );
document.write( "A=33 DEGREES FOR THE SMALLER ANGLE.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "33+9=57-15<BR>\n" );
document.write( "42=42<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );