document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=100634>Question 100634</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if angles supplement the same angle then? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73388 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=73388\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The angles have equal measures ... or you can say that the angles are congruent.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Suppose angles A and B are supplementary. By the definition of \"supplementary\" the measusres<BR>\n" );
document.write( "of these two angles add to 180 degrees. So we can write the equation:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "A + B = 180 <BR>\n" );
document.write( ".<BR>\n" );
document.write( "in which A represents the measure of angle A and B represents the measure of angle B.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now let's suppose that angle C is also supplementary to angle B. By the definition of <BR>\n" );
document.write( "supplementary the measures of these two angles add to 180 degrees. This time we can write<BR>\n" );
document.write( "the equation as:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "C + B = 180<BR>\n" );
document.write( ".<BR>\n" );
document.write( "in which C represents the measure of angle C and B again represents the measure of angle B.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Look at the two equations that we have. The right sides of these two equations are equal <BR>\n" );
document.write( "because both right sides are 180 degrees. That means that their left sides must also be<BR>\n" );
document.write( "equal. Setting their left sides equal results in the equation:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "A + B = C + B<BR>\n" );
document.write( ".<BR>\n" );
document.write( "If you subtract B from both sides of this equation you are left with:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "A = C<BR>\n" );
document.write( ".<BR>\n" );
document.write( "This tells you that if A and C are both supplementary to B, then A equals C which means<BR>\n" );
document.write( "that the measures of angles A and C are equal and the angles are congruent.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Hope this helps you to understand the problem a little better.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );