document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1057823>Question 1057823</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two angles are complementary. If one angle is doubled, the result is 1/2 of the other angle. What are the measures of the angles?\r<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 #672814 by </B><A HREF=/tutors/aboutme.mpl?userid=solve_for_x><B>solve_for_x(190)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solve_for_x><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=672814\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x represent one of the angles, and let y represent the other angle.\r<BR>\n" );
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document.write( "Since the two angles are complementary, you can write:\r<BR>\n" );
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document.write( "x + y = 90\r<BR>\n" );
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document.write( "Then, since doubling one angle equals half of the other angle, you can write:\r<BR>\n" );
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document.write( "2x = y/2\r<BR>\n" );
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document.write( "This can be rearranged as:\r<BR>\n" );
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document.write( "4x = y\r<BR>\n" );
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document.write( "Substituting this into x + y = 90 gives:\r<BR>\n" );
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document.write( "x + 4x = 90\r<BR>\n" );
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document.write( "5x = 90\r<BR>\n" );
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document.write( "x = 18\r<BR>\n" );
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document.write( "Then y = 4x = 4(18) = 72\r<BR>\n" );
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document.write( "Solution: The angles are 18 and 72 degrees. </SPAN>\n" );
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