document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1063568>Question 1063568</A>: <I><SPAN STYLE=\"word-break: break-all;\"> for parallelogram LMNO, If m < L = 4x-25 and m < N = 3x+18,find m < M<BR>\n" );
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document.write( "	33<BR>\n" );
document.write( "	147<BR>\n" );
document.write( "	137<BR>\n" );
document.write( "	43<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #678741 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=678741\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3>Angle L and angle N are opposite angles. With any parallelogram, opposite angles are congruent.\r<BR>\n" );
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document.write( "angle L = angle N<BR>\n" );
document.write( "4x-25 = 3x+18<BR>\n" );
document.write( "4x-25+25 = 3x+18+25<BR>\n" );
document.write( "4x = 3x+43<BR>\n" );
document.write( "4x-3x = 3x+43-3x<BR>\n" );
document.write( "x = 43\r<BR>\n" );
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document.write( "Now that we know x = 43, we can figure out what angle L and what angle N are equal to (in terms of degrees)\r<BR>\n" );
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document.write( "angle L = 4x-25<BR>\n" );
document.write( "angle L = 4*43-25<BR>\n" );
document.write( "angle L = 172-25<BR>\n" );
document.write( "angle L = 147 degrees\r<BR>\n" );
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document.write( "angle N = 3x+18<BR>\n" );
document.write( "angle N = 3*43+18<BR>\n" );
document.write( "angle N = 129+18<BR>\n" );
document.write( "angle N = 147 degrees\r<BR>\n" );
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document.write( "Angle M is adjacent to angle L. Adjacent angles in parallelograms are supplementary. This means that they add to 180 degrees\r<BR>\n" );
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document.write( "(angle M) + (angle L) = 180<BR>\n" );
document.write( "(angle M) + (147) = 180<BR>\n" );
document.write( "angle M + 147-147 = 180-147<BR>\n" );
document.write( "angle M = 33 degrees\r<BR>\n" );
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document.write( "Final Answer: <font color=red>choice A) 33 degrees</font></font> </SPAN>\n" );
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