document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=283601>Question 283601</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me understand and solve this problem: One angle is 15 degrees less than twice another angle. If the angles are complementary find each angle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #205830 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=205830\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If angles are complementary, then the sum to 90 degrees.<BR>\n" );
document.write( "We have two angles, say 'x' and 'y'.<BR>\n" );
document.write( "We know from the problem statement they are complementary, so <BR>\n" );
document.write( "x+y=90<BR>\n" );
document.write( "Given this equation, we can see that it is easier to define them as:<BR>\n" );
document.write( "'x' and '90-x'.  <BR>\n" );
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document.write( "That leaves us with only one unknown to solve.<BR>\n" );
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document.write( "In algebra, we'd say:<BR>\n" );
document.write( "x = x<BR>\n" );
document.write( "y = 90-x<BR>\n" );
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document.write( "We also are told one angle is 15 less than twice the other.  So if we add 15 to one of the angles, it will equal twice the other angle.<BR>\n" );
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document.write( "y+15 = 2x<BR>\n" );
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document.write( "Which means<BR>\n" );
document.write( "y = 2x - 15<BR>\n" );
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document.write( "Returning to the objective equation:<BR>\n" );
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document.write( "x + y = 90<BR>\n" );
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document.write( "Substitute y = 2x-15<BR>\n" );
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document.write( "x + 2x-15 = 90<BR>\n" );
document.write( "3x -15 = 90<BR>\n" );
document.write( "3x = 105<BR>\n" );
document.write( "x = 35<BR>\n" );
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document.write( "x + y = 90<BR>\n" );
document.write( "y = 90 -35<BR>\n" );
document.write( "y = 55<BR>\n" );
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document.write( "Check to see if these values satisfy the other problem statement:<BR>\n" );
document.write( "y + 15 = 2x<BR>\n" );
document.write( "y+15 = 55+15 = 70<BR>\n" );
document.write( "2x = 2*35 = 70<BR>\n" );
document.write( "Correct.<BR>\n" );
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document.write( "Answer:<BR>\n" );
document.write( "The two angles are:  35 and 55.<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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