document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=848367>Question 848367</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The second angle in a triangle is half as large as the first. The third angle is three times as large as the second. Find the angle measures </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #511071 by </B><A HREF=/tutors/aboutme.mpl?userid=pmesler><B>pmesler(52)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=pmesler><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=pmesler><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=511071\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, remember that the sum of all the angles in a triangle must equal 180 degrees. \r<BR>\n" );
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document.write( "Let x = the measure of the first angle\r<BR>\n" );
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document.write( "Let x/2 = the measure of the second angle\r<BR>\n" );
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document.write( "Let 3x/2 = the measure of the third angle. \r<BR>\n" );
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document.write( "Therefore \r<BR>\n" );
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document.write( "x + x/2 + 3x/2 = 180. Now solve for x. Once you find x, you will find the measure for all three angles.\r<BR>\n" );
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document.write( "x + x/2 + 3x/2 = 180 \r<BR>\n" );
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document.write( "= x+ 4x/2 = 180\r<BR>\n" );
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document.write( "Multiply each side of the equation by 2 to get rid of the 2 in the denominator.\r<BR>\n" );
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document.write( "2[x + 4x/2] = 2(180).\r<BR>\n" );
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document.write( "2x + 4x = 360\r<BR>\n" );
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document.write( "6x = 360\r<BR>\n" );
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document.write( "Divide each side by 6\r<BR>\n" );
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document.write( "x = 60. \r<BR>\n" );
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document.write( "Therefore the first angle x, is 60 degrees. The second angle, x/2 = 60/2 = 30 degrees. The third angle 3x/2 = 3(60)/2 = 90. \r<BR>\n" );
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document.write( "60 + 30 + 90 = 180 so everything is correct. \r<BR>\n" );
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document.write( " </SPAN>\n" );
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