document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=495854>Question 495854</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The measure of the complement of an angle times seven is equivalent to three times the supplement. Find the complement.\r<BR>\n" );
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document.write( "Attempt at solving:<BR>\n" );
document.write( "90-7x = 3x<BR>\n" );
document.write( "90 = 10x<BR>\n" );
document.write( "9 = x\r<BR>\n" );
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document.write( "90-63 = 27<BR>\n" );
document.write( "The complement is 27 degrees? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #336260 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=336260\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's work with the angle itself. Let x be the unknown angle.<BR>\n" );
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document.write( "If x is the unknown angle, then its complement is 90 - x and its supplement is 180 - x.<BR>\n" );
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document.write( "The problem then tells you that 7 times the complement equals 3 times the supplement. In equation form this is:<BR>\n" );
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document.write( "7*(90 - x) = 3*(180 - x)<BR>\n" );
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document.write( "Multiply out the two sides:<BR>\n" );
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document.write( "630 - 7x = 540 - 3x<BR>\n" );
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document.write( "Subtract 540 from both sides:<BR>\n" );
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document.write( "90 - 7x = - 3x<BR>\n" );
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document.write( "Add 7x to both sides:<BR>\n" );
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document.write( "90 = 4x<BR>\n" );
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document.write( "Solve for the unknown angle by dividing both sides by 4 to get:<BR>\n" );
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document.write( "22.5 = x<BR>\n" );
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document.write( "So the unknown angle is 22.5 degrees. Then its complement is 90 - 22.5 and that is 67.5 degrees. <BR>\n" );
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document.write( "Its supplement is 180 - 22.5 and it equals 157.5 degrees.<BR>\n" );
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document.write( "To check our answers, let's return to the original problem which states that 7 times the complement equals 3 times the supplement. In equation form this is:<BR>\n" );
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document.write( "7*67.5 = 3*157.5<BR>\n" );
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document.write( "and doing the multiplications shown on both sides results in:<BR>\n" );
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document.write( "472.5 = 472.5<BR>\n" );
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document.write( "Since both sides are equal, we know that the answer is correct. The complement that you were to find is 67.5 degrees.<BR>\n" );
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document.write( "Hope this helps you to understand this problem a little better. This problem is made difficult by how it's written. Once you get the wording correctly interpreted into equation form, getting the solution is actually the easier part.  </SPAN>\n" );
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