document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37726>Question 37726</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The measure of the supplement of an angle is 15 degrees less than four times the measure of the complement. Find the measure of the angle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #23303 by </B><A HREF=/tutors/aboutme.mpl?userid=jcmtnez><B>jcmtnez(53)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jcmtnez><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=23303\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let call the angle X<BR>\n" );
document.write( "Its complement will be 90-x<BR>\n" );
document.write( "Its supplement will be 180-x\r<BR>\n" );
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document.write( "(180-x)+15 = 4(90-x)<BR>\n" );
document.write( "180-x+15 = 360-4x<BR>\n" );
document.write( "4x-x = 360-180-15<BR>\n" );
document.write( "3x = 165<BR>\n" );
document.write( "x = 55\r<BR>\n" );
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document.write( "Prove\r<BR>\n" );
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document.write( "The complement of 55 is 35<BR>\n" );
document.write( "And the supplement of 55 is 125\r<BR>\n" );
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document.write( "Now we must see if the relation stated holds\r<BR>\n" );
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document.write( "125+15 = 4(35)<BR>\n" );
document.write( "125+15 = 140  The measure of the supplement of an angle is 15 degrees less than four times the measure of the complement.<BR>\n" );
document.write( "140 = 140\r<BR>\n" );
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document.write( "Therefore the solution of the problem is given by an angle of 55 degrees. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );