document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=403069>Question 403069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the third angle of a triangle is twice the sum of the first two angles; and the first two angles are equal.  What is the size (in degrees) for each angle of this triangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #285063 by </B><A HREF=/tutors/aboutme.mpl?userid=rvquartz><B>rvquartz(19)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rvquartz><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=rvquartz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=285063\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> STEP ONE:<BR>\n" );
document.write( "realize that the TOTAL number of degrees in a triangle is 180. \r<BR>\n" );
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document.write( "STEP TWO:<BR>\n" );
document.write( "Let angle #1 = 'x' degrees<BR>\n" );
document.write( "Let angle #2 = 'y' degrees<BR>\n" );
document.write( "Let angle #3 = 'z' degrees\r<BR>\n" );
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document.write( "STEP THREE:<BR>\n" );
document.write( "Now we can model the relationship as:\r<BR>\n" );
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document.write( "x + y + z = 180\r<BR>\n" );
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document.write( "STEP FOUR:<BR>\n" );
document.write( "Realize from the problem statement that \r<BR>\n" );
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document.write( "z = 2(x + y) \r<BR>\n" );
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document.write( "and also that\r<BR>\n" );
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document.write( "x = y\r<BR>\n" );
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document.write( "so, \r<BR>\n" );
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document.write( "z = 2(x + x) = 4x\r<BR>\n" );
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document.write( "STEP FIVE:<BR>\n" );
document.write( "since \r<BR>\n" );
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document.write( "x + y + z = 180 and since z = 4x we can now write the following\r<BR>\n" );
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document.write( "x + y + 4x = 180, \r<BR>\n" );
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document.write( "and since x = y, we can now write the following\r<BR>\n" );
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document.write( "x + x + 4x = 180, and this is the same as saying that\r<BR>\n" );
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document.write( "6x = 180, and now by simple division\r<BR>\n" );
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document.write( "x = 180/6 = 30\r<BR>\n" );
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document.write( "so x = 30 and since y is the same as x, y is also = 30\r<BR>\n" );
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document.write( "and we already established that z = 4x so z = 120\r<BR>\n" );
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document.write( "the final answers:\r<BR>\n" );
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document.write( "x = 30 <BR>\n" );
document.write( "y = 30<BR>\n" );
document.write( "z = 120 </SPAN>\n" );
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