document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033457>Question 1033457</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two lines intersect to form two pairs of vertical angles.  angle 1  with measure (20x+7)° and  angle 3  with measure (5x + 7y + 49)° are vertical angles.  angle 2  with measure (3x - 2y + 30)° and angle 4  are vertical angles. Find the values x and y and the measures of all four angles. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #648243 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=648243\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the vertical angles are equal.\r<BR>\n" );
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document.write( "you get 20x + 7 = 5x + 7y + 49<BR>\n" );
document.write( "subtract (5x + 7y + 49) from both sides of the equation to get:<BR>\n" );
document.write( "15x - 7y - 42 = 0<BR>\n" );
document.write( "add 42 to both sides of this equation to get:<BR>\n" );
document.write( "15x - 7y = 42\r<BR>\n" );
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document.write( "the adjacent angles are supplementary.\r<BR>\n" );
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document.write( "you get 20x + 7 + 3x - 2y + 30 = 180<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "23x - 2y + 37 = 180<BR>\n" );
document.write( "subtract 37 from both sides of this equation to get:<BR>\n" );
document.write( "23x - 2y = 143\r<BR>\n" );
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document.write( "you have 2 equations that need to be solved simultaneously.<BR>\n" );
document.write( "they are:<BR>\n" );
document.write( "15x - 7y = 42<BR>\n" );
document.write( "23x - 2y = 143\r<BR>\n" );
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document.write( "once you solve these 2 equations simultaneously, you will find that:<BR>\n" );
document.write( "x = 7 degrees.<BR>\n" );
document.write( "y = 9 degrees.\r<BR>\n" );
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document.write( "once you replace x and y in the original equations with 7 and 9, you will find that the original equations are true.\r<BR>\n" );
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document.write( "this will confirm that your solution is correct.\r<BR>\n" );
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document.write( "if you have any question on how to do any of what i described above, let me know and i will instruct you further.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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