document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=904683>Question 904683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of each variable and the measure of each labeled angle.\r<BR>\n" );
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document.write( "if two arrow are intersect each other. The top angle is (y+x) degree, on the left side angle is 2x degree, and the right angle is (y-x) degree.\r<BR>\n" );
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document.write( "How can I start and solve for the first step?\r<BR>\n" );
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document.write( "Thank you for your help. You are amazing!!!<BR>\n" );
document.write( "Yen </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #548849 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=548849\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+400%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0Aline%28-5%2C7%2C5%2C-7%29%2C%0D%0Aline%28-5%2C-7%2C5%2C7%29%2C%0D%0Alocate%28-0.5%2C2.5%2Cy%2Bx%29%2C%0D%0Alocate%281.5%2C0%2Cy-x%29%2C%0D%0Alocate%28-2.5%2C0%2C2x%29%0D%0A%0D%0A++%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I think this is what you mean??<BR>\n" );
document.write( "OK, when you look at the pairs of angles, you have two types of angles: linear pairs and vertical angles. <BR>\n" );
document.write( "Linear pairs sum to 180 degrees.<BR>\n" );
document.write( "Vertical angles are congruent (same measure).<BR>\n" );
document.write( "In your diagram, the linear pairs are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2Bx ALIGN=MIDDLE  ALT=\"y%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2Bx ALIGN=MIDDLE  ALT=\"y%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-x ALIGN=MIDDLE  ALT=\"y-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The vertical angles are : <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-x ALIGN=MIDDLE  ALT=\"y-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So let's build equations using this information.\r<BR>\n" );
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document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B%28y%2Bx%29=180 ALIGN=MIDDLE  ALT=\"2x%2B%28y%2Bx%29=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2By=180 ALIGN=MIDDLE  ALT=\"3x%2By=180\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2Bx%29%2B%28y-x%29=180 ALIGN=MIDDLE  ALT=\"%28y%2Bx%29%2B%28y-x%29=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=180 ALIGN=MIDDLE  ALT=\"2y=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=90%29 ALIGN=MIDDLE  ALT=\"highlight%28y=90%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "3.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=y-x ALIGN=MIDDLE  ALT=\"2x=y-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-y=0 ALIGN=MIDDLE  ALT=\"3x-y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since eq. 2 solved for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you can use either 1 or 3 to solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. You could also add eq. 1 and eq. 3,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2By%2B%283x-y%29=180 ALIGN=MIDDLE  ALT=\"3x%2By%2B%283x-y%29=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x=180 ALIGN=MIDDLE  ALT=\"6x=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=30%29 ALIGN=MIDDLE  ALT=\"highlight%28x=30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the three angles, given clockwise, are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=60 ALIGN=MIDDLE  ALT=\"2x=60\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2Bx=120 ALIGN=MIDDLE  ALT=\"y%2Bx=120\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-x=60 ALIGN=MIDDLE  ALT=\"y-x=60\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+400%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0Aline%28-5%2C7%2C5%2C-7%29%2C%0D%0Aline%28-5%2C-7%2C5%2C7%29%2C%0D%0Alocate%28-0.5%2C2.5%2C120%29%2C%0D%0Alocate%281.5%2C0%2C60%29%2C%0D%0Alocate%28-2.5%2C0%2C60%29%0D%0A%0D%0A++%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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