document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=430767>Question 430767</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two angles are complementary. The measure of one angle is 2° more than three times the measure of the other. Find the measure of each angle.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #299103 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=299103\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let A and B be the angles.<BR>\n" );
document.write( "They're complementary, so we know:  A+B = 90<BR>\n" );
document.write( "The problem also states that one angle is 2 degrees more than 3 times the other angle.<BR>\n" );
document.write( "A = 3B + 2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Since A+B=90<BR>\n" );
document.write( "B = 90-A<BR>\n" );
document.write( "A = 90-B<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Substituting<BR>\n" );
document.write( "90-B = 3B+2<BR>\n" );
document.write( "Add B to both sides<BR>\n" );
document.write( "90 = 4B +2<BR>\n" );
document.write( "Subtract 2 from both sides<BR>\n" );
document.write( "88 = 4B<BR>\n" );
document.write( "so<BR>\n" );
document.write( "4B = 88<BR>\n" );
document.write( "Divide both sides by 4<BR>\n" );
document.write( "B = 22<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Substitute back into a prior equation to find A<BR>\n" );
document.write( "A = 90 - B<BR>\n" );
document.write( "A = 90 - 22<BR>\n" );
document.write( "A = 68<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Always check your work.<BR>\n" );
document.write( "Use the first equation to see if it is true<BR>\n" );
document.write( "A = 3B + 2 ?<BR>\n" );
document.write( "68 = 3(22) + 2 ?<BR>\n" );
document.write( "68 = 66 + 2<BR>\n" );
document.write( "True<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now re-read the question to make sure you answer it.<BR>\n" );
document.write( "Answer:  The measures of the two angles are 68 degrees and 22 degrees.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Done. </SPAN>\n" );
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