document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=788896>Question 788896</A>: <I><SPAN STYLE=\"word-break: break-all;\"> &#8736; RQS and &#8736; TQS are vertical angles where m&#8736; RQS = 3(x + 7) and m&#8736; TQS = 4x + 15.\r<BR>\n" );
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document.write( " Solve for x.<BR>\n" );
document.write( " Find  m&#8736; RQS and  m&#8736; TQS<BR>\n" );
document.write( " Show how you can check your answer.\r<BR>\n" );
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document.write( "Thank you for helping me! \(^-^)/ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #478637 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=478637\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> &#8736; RQS and &#8736; TQS are vertical angles\r<BR>\n" );
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document.write( "so that means they are congruent (since vertical angles are congruent)\r<BR>\n" );
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document.write( "so set them equal, plug in the given expressions, then solve for x\r<BR>\n" );
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document.write( "m &#8736; RQS = m &#8736; TQS \r<BR>\n" );
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document.write( "3(x + 7) = 4x + 15\r<BR>\n" );
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document.write( "3x+21 = 4x+15\r<BR>\n" );
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document.write( "3x = 4x+15-21\r<BR>\n" );
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document.write( "3x-4x = 15-21\r<BR>\n" );
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document.write( "-x = 15-21\r<BR>\n" );
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document.write( "-x = -6\r<BR>\n" );
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document.write( "x = (-6)/(-1)\r<BR>\n" );
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document.write( "x = 6\r<BR>\n" );
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document.write( "-------------------------------------------------------\r<BR>\n" );
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document.write( "Since x = 6, we know that \r<BR>\n" );
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document.write( "m &#8736; RQS =  3(x + 7)\r<BR>\n" );
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document.write( "m &#8736; RQS =  3(6 + 7)\r<BR>\n" );
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document.write( "m &#8736; RQS =  3(13)\r<BR>\n" );
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document.write( "m &#8736; RQS =  <font color=\"red\">39 degrees</font>\r<BR>\n" );
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document.write( "Angle TQS is also 39 degrees (since the two angles are congruent vertical angles). I'll let you determine angle TQS (plug x = 6 into the second equation and evaluate). </SPAN>\n" );
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