document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156784>Question 156784</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the complement of an angle is 15° less than one-sixth of its supplement, 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 #115596 by </B><A HREF=/tutors/aboutme.mpl?userid=phd><B>phd(3)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=phd><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=115596\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Complementary angles make a right angle (90 degrees)<BR>\n" );
document.write( "Supplementary angles make a straight line (180 degrees)\r<BR>\n" );
document.write( "\n" );
document.write( "If the angle that we are looking for is \"a\" then the complement of a plus a would equal 90 degrees and 90-a would be equal to the complement. Similarly the supplement of a would be equal to 180 - a. We can write the problem as an equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2890-a%29%2B+15+=+%281%2F6%29%28180-a%29 ALIGN=MIDDLE  ALT=\"%2890-a%29%2B+15+=+%281%2F6%29%28180-a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Then solve for a.<BR>\n" );
document.write( "Combine 90 and 15 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=105+-+a+=+%281%2F6%29%28180-a%29 ALIGN=MIDDLE  ALT=\"105+-+a+=+%281%2F6%29%28180-a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply by 6 to get rid of the fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=630+-+6a+=+180-a ALIGN=MIDDLE  ALT=\"630+-+6a+=+180-a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Add 6a to both sides <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=630+=+180+%2B5a ALIGN=MIDDLE  ALT=\"630+=+180+%2B5a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract 180 from both sides <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=450+=+5a ALIGN=MIDDLE  ALT=\"450+=+5a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by 5 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90+=+a ALIGN=MIDDLE  ALT=\"90+=+a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "To check: The complement of 90 is 0 and the supplement of 90 is 90. Then 1/6 of the supplement is 15. 0 is 15 less than 15. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );