document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=920619>Question 920619</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in an isosceles triangle ABC base angles measure 2x+40 and 4x+10. Find the measure of each angle in triangle ABC </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #558499 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=558499\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In every isosceles triangle, the base angles are congruent. In other words, they are equal.\r<BR>\n" );
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document.write( "2x+40 = 4x+10\r<BR>\n" );
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document.write( "40 = 4x+10-2x\r<BR>\n" );
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document.write( "40-10 = 4x-2x\r<BR>\n" );
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document.write( "30 = 2x\r<BR>\n" );
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document.write( "2x = 30\r<BR>\n" );
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document.write( "x = 30/2\r<BR>\n" );
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document.write( "x = 15\r<BR>\n" );
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document.write( "Plug in x = 15:  2x+40 = 2(15)+40 = 70\r<BR>\n" );
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document.write( "Each base angle is 70 degrees\r<BR>\n" );
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document.write( "There are 2 of them, so they total in 2*70 = 140 degrees\r<BR>\n" );
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document.write( "The missing angle is 180 - 140 = 40 degrees\r<BR>\n" );
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document.write( "=======================================================\r<BR>\n" );
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document.write( "Summary:\r<BR>\n" );
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document.write( "Base Angle 1: 70 degrees<BR>\n" );
document.write( "Base Angle 2: 70 degrees<BR>\n" );
document.write( "Vertex Angle: 40 degrees\r<BR>\n" );
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document.write( "Let me know if you need more help or if you need me to explain a step in more detail.<BR>\n" );
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document.write( "Thanks,\r<BR>\n" );
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document.write( "Jim  </SPAN>\n" );
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