document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198287>Question 198287</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A quadrilateral's four angles measure x + 5, x + 10, x - 10, and 2x - 5.  Find the measure of the largest angle.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #148723 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=148723\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Recall (or look up) that a sum of all the angles of a quadrilateral is ALWAYS 360 degrees.\r<BR>\n" );
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document.write( "So algebraically, this means that: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%29%2B%28x%2B10%29%2B%28x-10%29%2B%282x-5%29=360 ALIGN=MIDDLE  ALT=\"%28x%2B5%29%2B%28x%2B10%29%2B%28x-10%29%2B%282x-5%29=360\"   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=%28x%2B5%29%2B%28x%2B10%29%2B%28x-10%29%2B%282x-5%29=360 ALIGN=MIDDLE  ALT=\"%28x%2B5%29%2B%28x%2B10%29%2B%28x-10%29%2B%282x-5%29=360\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B5%2Bx%2B10%2Bx-10%2B2x-5=360 ALIGN=MIDDLE  ALT=\"x%2B5%2Bx%2B10%2Bx-10%2B2x-5=360\"   DISABLED_style= \"max-width:90%; height:auto;\" > Remove the parenthesis.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=360 ALIGN=MIDDLE  ALT=\"5x=360\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28360%29%2F%285%29 ALIGN=MIDDLE  ALT=\"x=%28360%29%2F%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   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=72 ALIGN=MIDDLE  ALT=\"x=72\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=72 ALIGN=MIDDLE  ALT=\"x=72\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can find the angles to be: \r<BR>\n" );
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document.write( "Angle #1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B5=72%2B5=77 ALIGN=MIDDLE  ALT=\"x%2B5=72%2B5=77\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Angle #2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B10=72%2B10=82 ALIGN=MIDDLE  ALT=\"x%2B10=72%2B10=82\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Angle #3: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-10=72-10=62 ALIGN=MIDDLE  ALT=\"x-10=72-10=62\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Angle #4: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-5=2%2872%29-5=144-5=139 ALIGN=MIDDLE  ALT=\"2x-5=2%2872%29-5=144-5=139\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So we have the angles 77, 82, 62, and 139.\r<BR>\n" );
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document.write( "We can clearly see that the fourth angle of 139 degrees is the largest. </SPAN>\n" );
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