document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=668540>Question 668540</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help:\r<BR>\n" );
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document.write( "Find the measure of each angle: Isosceles Triangle:\r<BR>\n" );
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document.write( "Angle A:  4x + 2y<BR>\n" );
document.write( "Angle B:  9y - 2<BR>\n" );
document.write( "Angle C:   10x + 10\r<BR>\n" );
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document.write( "Angles B and C have the same measurement. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #415666 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=415666\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> By our Triangle Angle-Sum Theorem, 4x+2y + 9y -2 + 10x+10 = 180\r<BR>\n" );
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document.write( "We also know that 9y -2 = 10x + 10, so solve for y.\r<BR>\n" );
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document.write( "9y = 10x + 12\r<BR>\n" );
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document.write( "y = (10x+12)/9\r<BR>\n" );
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document.write( "4x + 2(10x+12)/9 + 9(10x+12)/9 - 2  + 10x + 10 = 180\r<BR>\n" );
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document.write( "4x + (20/9)x + 24/9 + 10x + 12 -2 + 10x + 10 = 180\r<BR>\n" );
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document.write( "(236/9)x + 68/3 = 180\r<BR>\n" );
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document.write( "Multiply everything by 9 to get:\r<BR>\n" );
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document.write( "236x + 204 = 1620\r<BR>\n" );
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document.write( "236x = 1416\r<BR>\n" );
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document.write( "x = 6\r<BR>\n" );
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document.write( "10x + 10 = 9y-2\r<BR>\n" );
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document.write( "10(6) + 10 = 9y -2\r<BR>\n" );
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document.write( "72 = 9y\r<BR>\n" );
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document.write( "y = 8\r<BR>\n" );
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document.write( "So, angle A: 4(6) + 2(8) = 40\r<BR>\n" );
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document.write( "angle B: 9(8) -2 = 70\r<BR>\n" );
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document.write( "angle C:  10(6) + 10 = 70\r<BR>\n" );
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document.write( "40,70,70\r<BR>\n" );
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document.write( " </SPAN>\n" );
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