document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=336561>Question 336561</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Directions: Express each ration as a fraction in simplest form.\r<BR>\n" );
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document.write( "Question:<BR>\n" );
document.write( "The sum of the measures of two complementary angles is 90 degrees. Find the measures of two complementary angles whose measures are in the ratio of 1:4.\r<BR>\n" );
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document.write( "Problems:<BR>\n" );
document.write( "I am having troubles understanding what this problem is asking me to do, and how to solve it correctly. Please explain the concept of complementary angles to me as well.<BR>\n" );
document.write( "                  Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #241297 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=241297\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> My explanation:<BR>\n" );
document.write( "Complementary angles are angles that add up to 90.<BR>\n" );
document.write( "For example, 55 degrees and 35 degrees are complementary, they add up to 90<BR>\n" );
document.write( "If you were asked,\"What is the complement of 25 degrees?\" you would <BR>\n" );
document.write( "say 90 - 25 = 65 degrees and is the complement of 25<BR>\n" );
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document.write( "The sum of the measures of two complementary angles is 90 degrees. (we just said that)<BR>\n" );
document.write( "Call the two angles, x & y, they are complementary therefore:<BR>\n" );
document.write( "x + y = 90<BR>\n" );
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document.write( "Find the measures of two complementary angles whose measures are in the ratio of 1:4.<BR>\n" );
document.write( "Therefore:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fy ALIGN=MIDDLE  ALT=\"x%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "y = 4x<BR>\n" );
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document.write( "return to the equation x + y  90<BR>\n" );
document.write( "Replace y with 4x,<BR>\n" );
document.write( "x + 4x = 90<BR>\n" );
document.write( "5x = 90<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%2F5 ALIGN=MIDDLE  ALT=\"90%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 18 degees<BR>\n" );
document.write( "We know y = 4x, therefore<BR>\n" );
document.write( "y = (4*18) <BR>\n" );
document.write( "y = 72 degrees<BR>\n" );
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document.write( "These two angle add up to 90 and have the ratio of 1:4<BR>\n" );
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document.write( "Did this shed some light on complementary angles??  </SPAN>\n" );
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