document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120571>Question 120571</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you find two supplement angles in the ratio of7:5? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #88391 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=88391\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I think you meant to say 'supplemental' angles.\r<BR>\n" );
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document.write( "Supplemental angles are angles whose measures sum to either 180 degrees or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >, depending on the measurement system you are using.  Let's use 180 degrees for this example.\r<BR>\n" );
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document.write( "If the measure of one of the angles is x degrees, then the measure of the other angle must be 180 - x degrees.  And we know that these two angles are in the ratio of 7:5.  So we can write:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28180-x%29%2Fx=7%2F5 ALIGN=MIDDLE  ALT=\"%28180-x%29%2Fx=7%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since we have created a proportion, we can cross multiply and solve:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28180-x%29=7x ALIGN=MIDDLE  ALT=\"5%28180-x%29=7x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=900-5x=7x ALIGN=MIDDLE  ALT=\"900-5x=7x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=900=12x ALIGN=MIDDLE  ALT=\"900=12x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=75 ALIGN=MIDDLE  ALT=\"x=75\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So 75 degrees is the measure of one of the angles, and the other angle must then be 180 - 75 = 105.\r<BR>\n" );
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document.write( "Check the answer:\r<BR>\n" );
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document.write( "Reduce the fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=105%2F75 ALIGN=MIDDLE  ALT=\"105%2F75\"   DISABLED_style= \"max-width:90%; height:auto;\" > to lowest terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=105%2F75=%2815%2A7%29%2F%2815%2A5%29=7%2F5 ALIGN=MIDDLE  ALT=\"105%2F75=%2815%2A7%29%2F%2815%2A5%29=7%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, answer checks. </SPAN>\n" );
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