document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=495775>Question 495775</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the measure of on angle is 24 degrees greater then the measure of its complement.what are the measure of the angles?<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 #336191 by </B><A HREF=/tutors/aboutme.mpl?userid=kingme18><B>kingme18(98)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=kingme18><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=kingme18><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=336191\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's call the measure of the angle we're talking about \"m\", and let's call its complement \"c\".\r<BR>\n" );
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document.write( "The measure of our angle is 24 degrees greater than the measure of its complement.  If we take that apart: <BR>\n" );
document.write( "The measure of our angle (I defined that to be \"m\")<BR>\n" );
document.write( "is (means =)<BR>\n" );
document.write( "24 degrees greater than (more than; this is addition)<BR>\n" );
document.write( "the measure of its complement (I defined that to be \"c\")\r<BR>\n" );
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document.write( "So really, we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+24+%2B+c ALIGN=MIDDLE  ALT=\"m+=+24+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We also know that an angle plus its complement is 90 by definition (so, for example, 10 and 80 are complements because they add to 90).  So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+%2B+c+=+90 ALIGN=MIDDLE  ALT=\"m+%2B+c+=+90\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "But we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+24%2Bc ALIGN=MIDDLE  ALT=\"m+=+24%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" > from above.  That means that instead of saying m in our second equation, we can say 24+c.  So instead of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2Bc=90 ALIGN=MIDDLE  ALT=\"m%2Bc=90\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2824%2Bc%29%2Bc=90 ALIGN=MIDDLE  ALT=\"%2824%2Bc%29%2Bc=90\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  All I did was exchanged m and 24+c.  Now, we solve:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2Bc%2Bc=90 ALIGN=MIDDLE  ALT=\"24%2Bc%2Bc=90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2B2c=90 ALIGN=MIDDLE  ALT=\"24%2B2c=90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2c=66 ALIGN=MIDDLE  ALT=\"2c=66\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=33 ALIGN=MIDDLE  ALT=\"c=33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The measure of the angle's complement is 33 degrees.\r<BR>\n" );
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document.write( "At the beginning, you told me that our angle is 24 degrees greater than its complement, so it's 24+33=57 degrees.\r<BR>\n" );
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document.write( "To check, our angle plus its complement should equal 90: 57 + 33 = 90.  It works :)  The two angles are 57 and 33 degrees. </SPAN>\n" );
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