document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212985>Question 212985</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0866099654/algebrahomeworkh>Geometry for the ejoyment and challenge</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> the supplement of an angle is four times the complement of the angle. Find the measure of the complement. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160898 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=160898\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the supplement of an angle is four times the complement of the angle. Find the measure of the complement.\r<BR>\n" );
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document.write( "Let the angle be A<BR>\n" );
document.write( "Then the supplement of the angle is (180 - A), and the complement of the angle is (90 - A)\r<BR>\n" );
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document.write( "Since the supplement is four times the complement, then we'll have:\r<BR>\n" );
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document.write( "180 - A  =  4(90 - A)\r<BR>\n" );
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document.write( "180 - A = 360 - 4A\r<BR>\n" );
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document.write( "3A  =  180\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+180%2F3+=+60%5Eo ALIGN=MIDDLE  ALT=\"A+=+180%2F3+=+60%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since A, or the angle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%5Eo ALIGN=MIDDLE  ALT=\"60%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then its complement is 90 - 60 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2830%5Eo%29 ALIGN=MIDDLE  ALT=\"highlight_green%2830%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Check<BR>\n" );
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document.write( "Angle = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%5Eo ALIGN=MIDDLE  ALT=\"60%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Therefore, its supplement = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%5Eo ALIGN=MIDDLE  ALT=\"120%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > (180 - 60)\r<BR>\n" );
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document.write( "Also, its complement is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%5Eo ALIGN=MIDDLE  ALT=\"30%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > (90 - 60)\r<BR>\n" );
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document.write( "So, since its supplement is equal to 4 times its complement, then:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%5Eo+=+4%2830%29 ALIGN=MIDDLE  ALT=\"120%5Eo+=+4%2830%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%5Eo+=+120%5Eo ALIGN=MIDDLE  ALT=\"120%5Eo+=+120%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---TRUE--- \r<BR>\n" );
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document.write( " </SPAN>\n" );
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