document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=494256>Question 494256</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Parallel postulates and special angles problem:<BR>\n" );
document.write( "Given: l is parallel to m and transversal t,<BR>\n" );
document.write( "m<1 = 4x + 2<BR>\n" );
document.write( "m<6 = 4x - 2<BR>\n" );
document.write( "Find: x and M<5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #335843 by </B><A HREF=/tutors/aboutme.mpl?userid=cleomenius><B>cleomenius(959)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=cleomenius><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=cleomenius><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=335843\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We would need to know the locations of the angels, such as alternate interior, corresponding, etc.<BR>\n" );
document.write( "Cleomenius.\r<BR>\n" );
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document.write( "Ok, now that I  see the diagram , angles 1 and angle 6 are called exterior angles on the same side of the transversal, they are supplemental and together equal 180 degrees.\r<BR>\n" );
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document.write( "So, 4x +2 +4x -2 = 180<BR>\n" );
document.write( "8x = 180 degrees.<BR>\n" );
document.write( "x = 22.5<BR>\n" );
document.write( "Angle 1 is 4(22.5) + 2 = 92<BR>\n" );
document.write( "Angle 5 is 4(22.5) - 2 = 88\r<BR>\n" );
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document.write( "92 degrees + 88 degrees = 180 degrees.\r<BR>\n" );
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document.write( "Angle 5 is a supplemental angle to angle 6, it is an adjacent angle on a straight line of 180 degrees. Therefore it is 92 degrees. \r<BR>\n" );
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document.write( "It is also a corresponding angle to angle 1, it is a corollary if two parallel lines are cut by a transversal, then each pair of corresponding angles formed is congruent.\r<BR>\n" );
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document.write( "Cleomenius.<BR>\n" );
document.write( " </SPAN>\n" );
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