document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=24037>Question 24037</A>: <I><SPAN STYLE=\"word-break: break-all;\"> each of the congruent angles of an isosceles triangle measures 9 less than 4 times the vertex angle. Find the measures of the angles of the triangle.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #12698 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=12698\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = measure of the vertex angle<BR>\n" );
document.write( "4x-9 = measure of each congruent angle\r<BR>\n" );
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document.write( "Equation = Sum of the three angles = 180<BR>\n" );
document.write( "x + 4x -9 + 4x - 9 = 180<BR>\n" );
document.write( "9x -18=180<BR>\n" );
document.write( "9x -18 +18 = 180+18<BR>\n" );
document.write( "9x = 198 \r<BR>\n" );
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document.write( "Divide both sides by 9:<BR>\n" );
document.write( "x = 22 degrees<BR>\n" );
document.write( "4x-9 =4*22 - 9 = 88-9 = 79 degrees\r<BR>\n" );
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document.write( "Check:  22+79+79 = 180<BR>\n" );
document.write( "It checks!\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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