document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062915>Question 1062915</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two angles are supplementary. If one is 10 more than twice the other, what is the measure of both angles? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #677921 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=677921\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3>Let x and y be the two unknown angles.\r<BR>\n" );
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document.write( "They are supplementary, so they add to 180 degrees <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By+=+180 ALIGN=MIDDLE  ALT=\"x%2By+=+180\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve for y to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+180-x ALIGN=MIDDLE  ALT=\"y+=+180-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > (subtract x from both sides)\r<BR>\n" );
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document.write( "\"one is 10 more than twice the other\" means that \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2x%2B10 ALIGN=MIDDLE  ALT=\"y+=+2x%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+180-x ALIGN=MIDDLE  ALT=\"y+=+180-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and solve for x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2x%2B10 ALIGN=MIDDLE  ALT=\"y+=+2x%2B10\"   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=180-x+=+2x%2B10 ALIGN=MIDDLE  ALT=\"180-x+=+2x%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Notice how y is replaced with 180-x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180-x%2Bx+=+2x%2B10%2Bx ALIGN=MIDDLE  ALT=\"180-x%2Bx+=+2x%2B10%2Bx\"   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=180+=+3x%2B10 ALIGN=MIDDLE  ALT=\"180+=+3x%2B10\"   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=180-10+=+3x%2B10-10 ALIGN=MIDDLE  ALT=\"180-10+=+3x%2B10-10\"   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=170+=+3x ALIGN=MIDDLE  ALT=\"170+=+3x\"   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=3x+=+170 ALIGN=MIDDLE  ALT=\"3x+=+170\"   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=3x%2F3+=+170%2F3 ALIGN=MIDDLE  ALT=\"3x%2F3+=+170%2F3\"   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+=+170%2F3 ALIGN=MIDDLE  ALT=\"x+=+170%2F3\"   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+=+56.67 ALIGN=MIDDLE  ALT=\"x+=+56.67\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is approximate\r<BR>\n" );
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document.write( "Now plug <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+170%2F3 ALIGN=MIDDLE  ALT=\"x+=+170%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2x%2B10 ALIGN=MIDDLE  ALT=\"y+=+2x%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" > to find y\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2%28170%2F3%29%2B10 ALIGN=MIDDLE  ALT=\"y+=+2%28170%2F3%29%2B10\"   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=y+=+340%2F3%2B10 ALIGN=MIDDLE  ALT=\"y+=+340%2F3%2B10\"   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=y+=+340%2F3%2B30%2F3 ALIGN=MIDDLE  ALT=\"y+=+340%2F3%2B30%2F3\"   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=y+=+370%2F3 ALIGN=MIDDLE  ALT=\"y+=+370%2F3\"   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=y+=+123.33 ALIGN=MIDDLE  ALT=\"y+=+123.33\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is approximate\r<BR>\n" );
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document.write( "We found that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+56.67 ALIGN=MIDDLE  ALT=\"x+=+56.67\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+123.33 ALIGN=MIDDLE  ALT=\"y+=+123.33\"   DISABLED_style= \"max-width:90%; height:auto;\" > approximately\r<BR>\n" );
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document.write( "So the two angle measures are approximately <font color=red>56.67 degrees and 123.33 degrees</font></font> </SPAN>\n" );
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