document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=239000>Question 239000</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two angles are complementary. The sum of the measure of the first angle and half the second angle is 69 degrees. 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 #175575 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=175575\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x + y = 90 (complementary angles)<BR>\n" );
document.write( "x + y/2 = 69\r<BR>\n" );
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document.write( "solve for x in the first equation to get x = 90-y\r<BR>\n" );
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document.write( "replace x in the second equation to get:\r<BR>\n" );
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document.write( "90-y + y/2 = 69\r<BR>\n" );
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document.write( "multiply both sides of the equation by 2 to get:\r<BR>\n" );
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document.write( "(90-y)*2 + y = 69*2\r<BR>\n" );
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document.write( "remove parentheses to get:\r<BR>\n" );
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document.write( "180-2y+y = 138\r<BR>\n" );
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document.write( "combine like results to get:\r<BR>\n" );
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document.write( "180 - y = 138\r<BR>\n" );
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document.write( "add y to both sides and subtract 138 from both sides of the equation to get:\r<BR>\n" );
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document.write( "180-138 = y which becomes y = 42\r<BR>\n" );
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document.write( "your angle should be 42.\r<BR>\n" );
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document.write( "complement of your angle should be 90-42 = 48\r<BR>\n" );
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document.write( "x = 48<BR>\n" );
document.write( "y = 42\r<BR>\n" );
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document.write( "48 + 42 = 90\r<BR>\n" );
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document.write( "48 + 42/2 = 48 + 21 = 69\r<BR>\n" );
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document.write( "looks ok.\r<BR>\n" );
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document.write( "answer is x = 45 and y = 42.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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