document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=101410>Question 101410</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If M<1 is four times its supplement, find M<1 and its supplement.\r<BR>\n" );
document.write( "\n" );
document.write( "I've tried to set the equation up like this:\r<BR>\n" );
document.write( "\n" );
document.write( "m<1=4x-180 but i really don't know what i am doing! thank you soo much </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73851 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=73851\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you are given the measure of an angle 1, then what is the measure of the angle of its <BR>\n" );
document.write( "supplement?<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Since the supplement of an angle is the angle that must be added to make the total 180 degrees.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "So the supplement of angle 1 (call it angle S) can be found by subtracting <BR>\n" );
document.write( "the measure <BR>\n" );
document.write( "of angle 1 from 180 degrees. In equation form this could be:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "mS = 180 - m1  [call this equation 1]<BR>\n" );
document.write( ".<BR>\n" );
document.write( "or in words, the measure of the supplementary angle S equals 180 degrees minus the measure of<BR>\n" );
document.write( "the angle 1.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Next you are told that the measure of angle 1 equals 4 times the measure of angle S.<BR>\n" );
document.write( "In equation form this is:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "m1 = 4*(mS) [call this equation 2]<BR>\n" );
document.write( ".<BR>\n" );
document.write( "But from equation 1 we know mS = 180 - m1 . Therefore for mS we can substitute 180 - m1 <BR>\n" );
document.write( "into equation 2 to get:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "m1 = 4*(180 - m1)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Multiply out the right side. 4 times 180 = 720 and 4 times m1 = 4*m1. This makes the<BR>\n" );
document.write( "equation become:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "m1 = 720 - 4*m1)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "You can get rid of the 4*m1 on the right side by adding 4*m1 to both sides to get:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "5*m1 = 720<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Solve for m1 by dividing both sides by 5 to get:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "m1 = 720/5 = 144 degrees.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Since m1 = 144 degrees, its supplement is the angle that you add to 144 to get 180 degrees.<BR>\n" );
document.write( "Therefore the supplement is 180 degrees minus 144 degrees which is 36 degrees.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Check by finding out if the m1 equals 4 times its supplement. In other words, does <BR>\n" );
document.write( ".<BR>\n" );
document.write( "144 degrees = 4 times 36 degrees<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Multiply out the right side and it becomes 144 degrees, so our answer checks.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Hope this helps you to understand the problem and figure out what you are doing.<BR>\n" );
document.write( ". <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );