document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=384418>Question 384418</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me understand the following:\r<BR>\n" );
document.write( "\n" );
document.write( "Three adjacent angles form a 90 degree angle.  The second angle is twice the first angle and the third angle is 10 less than the sum of the other two angles.  What is the measure of 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 #272150 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=272150\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Three adjacent angles form a 90 degree angle. The second angle is twice the first angle and the third angle is 10 less than the sum of the other two angles. What is the measure of each angle?<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x + y + z = 90<BR>\n" );
document.write( "y = 2x<BR>\n" );
document.write( "z = (x+y)-10<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Rearrange:<BR>\n" );
document.write( "x  +  y  +  z = 90<BR>\n" );
document.write( "2x -  y  +  0 =  0<BR>\n" );
document.write( "x  +  y  -  z = 10<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Solve by any method you know to get:<BR>\n" );
document.write( "x = 16 2/3 degrees <BR>\n" );
document.write( "y = 33 1/3 degrees<BR>\n" );
document.write( "z = 40 degrees<BR>\n" );
document.write( "=======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );