document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=182875>Question 182875</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is an equation you can use showing the relationship between r and s, when two angles q and r are complimentary , and the angle s is supplementary to q.\r<BR>\n" );
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document.write( "Any help would be appreciated.  \r<BR>\n" );
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document.write( "I know that complementary angles are 90 - x and that supplementary angles are 180-x, but I still can't come up with an equation for the above problem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137318 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=137318\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "If <i>q</i> and <i>r</i> are complementary and If <i>q</i> and <i>s</i> are supplementary, then the following relationships hold:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math q + r = 90\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math q + s = 180\">\r<BR>\n" );
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document.write( "If we subtract 90 from both sides of the second equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math q + s - 90 = 90\">\r<BR>\n" );
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document.write( "But since we have the first relationship, we can substitute:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math q + s - (q + r) = 90\">\r<BR>\n" );
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document.write( "A little distributive property and collection of like terms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math q + s - q - r = 90\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math s - r = 90\">\r<BR>\n" );
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document.write( "Yielding the desired relationship.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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