document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1017828>Question 1017828</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the complementary angle of (x+3)<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 #634041 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=634041\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> two angles are complementary if their sum is 90 degrees.\r<BR>\n" );
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document.write( "if their sum is 90 degrees, then one of the angles is equal to 90 - the other angle.\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "30 + 60 = 90, therefore 30 and 60 are complementary.\r<BR>\n" );
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document.write( "30 = 90 - 60, therefore one of the angles (30) is equal to 90 - the other angle (60).\r<BR>\n" );
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document.write( "likewise 60 = 90 - 30.\r<BR>\n" );
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document.write( "in general:\r<BR>\n" );
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document.write( "if a + b = 90, then b = 90 - a and a = 90 - b.\r<BR>\n" );
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document.write( "your problem states to find the complementary angle of x + 3.\r<BR>\n" );
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document.write( "let y be that angle.\r<BR>\n" );
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document.write( "in order to be complmentary to x + 3, y would have to be equal to 90 - (x + 3)\r<BR>\n" );
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document.write( "y = 90 - (x + 3) becomes y = 90 - x - 3 which becomes y = 87 - x.\r<BR>\n" );
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document.write( "the complementary angle to x + 3 is equal to 87 - x.\r<BR>\n" );
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document.write( "if these angles are complementary, then their sum is 90 degrees.\r<BR>\n" );
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document.write( "x + 3 + 87 - x is equal to 90, therefore the angles are complementary.\r<BR>\n" );
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document.write( "your solution is that the angle that is complementary to x + 3 is 87 - x.\r<BR>\n" );
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