document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1035845>Question 1035845</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles. Write and solve a system of equations to find the measures of all the angles. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #650460 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=650460\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A trapezoid (in some languages) is a quadrilateral with two parallel sides.<BR>\n" );
document.write( "In general, all four angles could have different measures,<BR>\n" );
document.write( "but the angles attached to each non-parallel side are supplementary,<BR>\n" );
document.write( "meaning that their measures add up to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%5Eo ALIGN=MIDDLE  ALT=\"180%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C200%2C-1%2C11%2C-1%2C7%2C%0D%0Aline%280%2C0%2C10%2C0%29%2Cline%281%2C6%2C8%2C6%29%2C%0D%0Aarrow%281%2C0%2C5%2C0%29%2Carrow%281%2C6%2C5%2C6%29%2C%0D%0Aline%280%2C0%2C1%2C6%29%2Cline%2810%2C0%2C8%2C6%29%2C%0D%0Alocate%280.2%2C0.8%2Cx%29%2Clocate%281%2C6%2C180%5Eo-x%29%2C%0D%0Alocate%289.4%2C0.8%2Cy%29%2Clocate%286%2C6%2C180%5Eo-y%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "In this case, the acute angles have the same measure, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=y ALIGN=MIDDLE  ALT=\"x=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and so do the obtuse angles, because it is an isosceles trapezoid.<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x ALIGN=MIDDLE  ALT=\"4x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= four times the measures (in degrees) of the acute angles;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B5 ALIGN=MIDDLE  ALT=\"4x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >= five more than the measures (in degrees) of the acute angles,<BR>\n" );
document.write( "and the problem says that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B5=180-x ALIGN=MIDDLE  ALT=\"4x%2B5=180-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so all we have to do is solve that equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B5=180-x ALIGN=MIDDLE  ALT=\"4x%2B5=180-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=175 ALIGN=MIDDLE  ALT=\"5x=175\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=175%2F5 ALIGN=MIDDLE  ALT=\"x=175%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=175%2F5 ALIGN=MIDDLE  ALT=\"x=175%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=35 ALIGN=MIDDLE  ALT=\"x=35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the acute angles measure <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2835%5Eo%29 ALIGN=MIDDLE  ALT=\"highlight%2835%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and the obtuse angles measure <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%5Eo-35%5Eo=highlight%28145%5Eo%29 ALIGN=MIDDLE  ALT=\"180%5Eo-35%5Eo=highlight%28145%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );