document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251224>Question 251224</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two angles are complementary. The measure of one angle is 21 more than twice the measure of the other angle. Find the measures of the angles. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #182938 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=182938\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We can call the two angles 'a' and 'b'.<BR>\n" );
document.write( "We are told they are complementary, so:<BR>\n" );
document.write( "a + b = 90<BR>\n" );
document.write( "And we're told that 'a' is 21 more than twice 'b'.<BR>\n" );
document.write( "a = 2*b + 21<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Substituting for 'a', we have:<BR>\n" );
document.write( "2*b+21 + b = 90<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Collecting like terms and simplifying:<BR>\n" );
document.write( "3b = 69<BR>\n" );
document.write( "b = 23<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Substituting the value of 'b' we find 'a'.<BR>\n" );
document.write( "a = 2b + 21<BR>\n" );
document.write( "a = 2*23 + 21<BR>\n" );
document.write( "a = 67<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Done. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );