document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107832>Question 107832</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the measure of an exterior angle drawn at vertex M of triangle LMN is x, then m L + m N is what? (sorry I don't have the angle symbol) <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 #78593 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=78593\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If I understand your question correctly, then the answer is that x equals mL + mN.<BR>\n" );
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document.write( "Look at it this way: angle M and its exterior angle are formed by a straight line. Therefore, the<BR>\n" );
document.write( "measure of angle M plus the measure of its supplementary angle can be written as:<BR>\n" );
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document.write( "mM + x = 180 degrees<BR>\n" );
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document.write( "subtracting mM from both sides of this equation results in: <BR>\n" );
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document.write( "x = 180 - mM <=== remember this equation<BR>\n" );
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document.write( "and for the interior angles of this triangle mM + mL + mN = 180 degrees<BR>\n" );
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document.write( "subtracting mM from both sides of this equation results in the equation becoming:<BR>\n" );
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document.write( "mL + mN = 180 - mM <=== remember this equation also<BR>\n" );
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document.write( "Now look at the two equations we have derived. The right sides of these two equations <BR>\n" );
document.write( "are the same ... and therefore, they are equal. This means that the left sides must be<BR>\n" );
document.write( "equal also. In one of the equations the left side is x. And in the other equation the<BR>\n" );
document.write( "left side is mL + mN. So we can write:<BR>\n" );
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document.write( "x = mL + mN<BR>\n" );
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document.write( "And this is what was stated at the beginning ... the measure of the exterior angle x<BR>\n" );
document.write( "is equal to the two interior angles on the opposite side of the triangle.<BR>\n" );
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document.write( "Hope this clarifies it for you.<BR>\n" );
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