document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=647714>Question 647714</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two supplementary angles exceeds the difference of their measures by 116 degrees. Find the measures of each angle.<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 #406345 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=406345\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let a = one angle<BR>\n" );
document.write( "Let b = the other<BR>\n" );
document.write( "From the problem statement we have<BR>\n" );
document.write( "(1) a + b = 180<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) (a+b) - (a-b) = 116<BR>\n" );
document.write( "Simplifying (2) we get<BR>\n" );
document.write( "(3) 2*b = 116, or<BR>\n" );
document.write( "(4) b = 58<BR>\n" );
document.write( "Then from (1) we get<BR>\n" );
document.write( "(5) a = 122<BR>\n" );
document.write( "Let's use (2) to check our answer.<BR>\n" );
document.write( "Is ((122+58) - (122-58) = 116)?<BR>\n" );
document.write( "Is (180 - 64 = 116)?<BR>\n" );
document.write( "Is (116 = 116)? Yes<BR>\n" );
document.write( "Answer: The two angles are 122 degrees and 58 degrees.<BR>\n" );
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