document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1052633>Question 1052633</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <1 and <2 are vertical angles. Find the measure of each angle. m<1= 2x+10, m<2= 3x-40. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #667945 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=667945\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3>Rule: Vertical angles are congruent (i.e. equal)\r<BR>\n" );
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document.write( "Since angle 1 and angle 2 are congruent, this means that the measures of the angles are equal.\r<BR>\n" );
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document.write( "m < 1 = m < 2\r<BR>\n" );
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document.write( "2x+10 = 3x-40\r<BR>\n" );
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document.write( "2x+10-2x = 3x-40-2x\r<BR>\n" );
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document.write( "10 = x-40\r<BR>\n" );
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document.write( "10+40 = x-40+40\r<BR>\n" );
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document.write( "50 = x\r<BR>\n" );
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document.write( "x = 50\r<BR>\n" );
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document.write( "Now let's use the value of x to find the measure of each angle\r<BR>\n" );
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document.write( "m < 1 = 2x+10\r<BR>\n" );
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document.write( "m < 1 = 2*50+10\r<BR>\n" );
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document.write( "m < 1 = 100+10\r<BR>\n" );
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document.write( "m < 1 = 110\r<BR>\n" );
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document.write( "Angle 1 is 110 degrees. \r<BR>\n" );
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document.write( "Angle 2 is also 110 degrees. Notice how plugging x = 50 into the other equation also yields 110\r<BR>\n" );
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document.write( "m < 2 = 3x-40\r<BR>\n" );
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document.write( "m < 2 = 3*50-40\r<BR>\n" );
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document.write( "m < 2 = 150-40\r<BR>\n" );
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document.write( "m < 2 = 110\r<BR>\n" );
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document.write( "Final Answers:\r<BR>\n" );
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document.write( "Angle 1 is 110 degrees. Angle 2 is 110 degrees</font> </SPAN>\n" );
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