document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1112582>Question 1112582</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two angles are said to be complementary<BR>\n" );
document.write( "if their sum is ninety degrees. Suppose<BR>\n" );
document.write( "you have two complementary angles such<BR>\n" );
document.write( "that the second angle is 6 degrees larger<BR>\n" );
document.write( "than 2 times the measure of the first angle.<BR>\n" );
document.write( "Find the angles.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #727645 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=727645\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = the first angle.<BR>\n" );
document.write( "let y = the second \r<BR>\n" );
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document.write( "second angle is 6 degrees larger than 2 times the first angle.\r<BR>\n" );
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document.write( "equation for that is y = 2x + 6\r<BR>\n" );
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document.write( "x + y = 90 because the angles are complementary.\r<BR>\n" );
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document.write( "replace y with 2x + 6 and you get:\r<BR>\n" );
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document.write( "x + 2x + 6 = 90\r<BR>\n" );
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document.write( "subtract 6 from both sides and combine like terms to get:\r<BR>\n" );
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document.write( "3x = 84\r<BR>\n" );
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document.write( "solve for x to get x = 84/3 = 28 degrees.\r<BR>\n" );
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document.write( "y = 2x + 6 = 2 * 28 + 6 = 62\r<BR>\n" );
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document.write( "28 + 62 = 90 so the angles are complementary\r<BR>\n" );
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document.write( "62 = 2 * 28 + 6 = 56 + 6 = 62\r<BR>\n" );
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document.write( "all checks out.\r<BR>\n" );
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document.write( "first angle is 28 degrees\r<BR>\n" );
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document.write( "second angle is 62 degrees.\r<BR>\n" );
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