document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163841>Question 163841</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two angles are complementary.  The measure of the larger is 6 less than 3 times the measure of the smaller.  Find the measure of both angles.\r<BR>\n" );
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document.write( "Two angles are supplementary.  The measure of the larger is 54 more than 8 times the measure of the smaller.  Find the measure of both angles </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120793 by </B><A HREF=/tutors/aboutme.mpl?userid=midwood_trail><B>midwood_trail(310)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=midwood_trail><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=120793\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two angles are complementary.  The measure of the larger is 6 less than 3 times the measure of the smaller.  Find the measure of both angles.\r<BR>\n" );
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document.write( "If two angles are complementary, they add up to 90 degrees.\r<BR>\n" );
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document.write( "x + x = 90\r<BR>\n" );
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document.write( "larger angle = 3x - 6\r<BR>\n" );
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document.write( "smaller angle = x\r<BR>\n" );
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document.write( "Set up the equation and solve for x.\r<BR>\n" );
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document.write( "x + 3x - 6 = 90\r<BR>\n" );
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document.write( "4x - 6 = 90\r<BR>\n" );
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document.write( "4x = 90 + 6\r<BR>\n" );
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document.write( "4x = 96\r<BR>\n" );
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document.write( "x = 96/4\r<BR>\n" );
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document.write( "x = 24\r<BR>\n" );
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document.write( "larger angle = 3(x) - 6\r<BR>\n" );
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document.write( "larger angle = 3(24) - 6\r<BR>\n" );
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document.write( "larger angle = 72 - 6\r<BR>\n" );
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document.write( "larger angle = 66 degrees\r<BR>\n" );
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document.write( "smaller angle = x = 24 degrees\r<BR>\n" );
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document.write( "==============================\r<BR>\n" );
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document.write( "Two angles are supplementary.  The measure of the larger is 54 more than 8 times the measure of the smaller.  Find the measure of both angles.\r<BR>\n" );
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document.write( "If two angles are supplementary, they add up to 180 degrees.\r<BR>\n" );
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document.write( "x + x = 180\r<BR>\n" );
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document.write( "larger angle = 8x + 54\r<BR>\n" );
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document.write( "smaller angle = x\r<BR>\n" );
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document.write( "8x + 54 + x = 180\r<BR>\n" );
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document.write( "9x + 54 = 180 \r<BR>\n" );
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document.write( "9x = 180 - 54\r<BR>\n" );
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document.write( "9x = 126\r<BR>\n" );
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document.write( "x = 126/9\r<BR>\n" );
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document.write( "x = 14\r<BR>\n" );
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document.write( "The smaller angle = 14 degrees\r<BR>\n" );
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document.write( "larger angle = 8x + 54\r<BR>\n" );
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document.write( "larger angle = 8(14) + 54\r<BR>\n" );
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document.write( "larger angle = 112 + 54\r<BR>\n" );
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document.write( "larger angle = 166 degrees\r<BR>\n" );
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document.write( "Did you follow?\r<BR>\n" );
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document.write( " </SPAN>\n" );
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