document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=428574>Question 428574</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the measure of an angle such that the sum of the measures of its compliment and it supplement is 230 degrees. The angle measures?\r<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 #297863 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=297863\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let A = the angle we want to find<BR>\n" );
document.write( "Given: The complement of A + the supplement of A = 230<BR>\n" );
document.write( "Since an angle plus its complement equals 90 degrees, the complement of A is 90 - A.<BR>\n" );
document.write( "And since an angle plus its supplement = 180, the supplement of A is 180 - A.<BR>\n" );
document.write( "So we need to solve the following equation for A:<BR>\n" );
document.write( "(90 - A) + (180 - A) = 230<BR>\n" );
document.write( "This gives 270 - 2A = 230 -> A = 20 degrees.<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "The complement is 70 degrees, and the supplement is 160 degrees.<BR>\n" );
document.write( "160 + 70 = 230 </SPAN>\n" );
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