document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=658681>Question 658681</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two angles are complementary. The measure of the larger angle is five times the measure of the smaller angle. Find the measure of the larger angle.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #410605 by </B><A HREF=/tutors/aboutme.mpl?userid=colliefan><B>colliefan(242)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=colliefan><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=410605\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the larger angle is 5 times larger, the first angle can be represented as x and the second as 5x. Since they are complementary, their sum must be 90 deg and the following equation expresses that.\r<BR>\n" );
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document.write( "Remember as you simplyfy, what you do to one side you must do to the other.\r<BR>\n" );
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document.write( "x+5x=90<BR>\n" );
document.write( "6x=90<BR>\n" );
document.write( "1/6*6x=1/6*90<BR>\n" );
document.write( "1*x=15<BR>\n" );
document.write( "x=15\r<BR>\n" );
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document.write( "This tells you that one of the angles is 15 deg and the other must be 5*15 or 75 deg. 15+75=90 and so yes, they are complementary.<BR>\n" );
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