document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=458893>Question 458893</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if the measures the angles of a triangle are represeted by 2x, 4x and 6x, then the triangle is :<BR>\n" );
document.write( "1) right<BR>\n" );
document.write( "2) obtuse<BR>\n" );
document.write( "3) acute<BR>\n" );
document.write( "4) equiangluar </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #314771 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=314771\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the interior angles of a triangle is 180 degrees. The total of the three given angles is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B4x%2B6x+=+12x ALIGN=MIDDLE  ALT=\"2x%2B4x%2B6x+=+12x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So you can say that the total of the three angles equals 180 degrees. Then solve for x and find each of the three angles:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x+=+180 ALIGN=MIDDLE  ALT=\"12x+=+180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Solve for x by dividing both sides of this equation by 12 to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+180%2F12 ALIGN=MIDDLE  ALT=\"x+=+180%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+15 ALIGN=MIDDLE  ALT=\"x+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now that you know x is 15 degrees you can determine the three angles.<BR>\n" );
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document.write( "The first angle is 2x or 2 times 15 degrees. So this angle is 30 degrees.<BR>\n" );
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document.write( "The second angle is 4x or 4 times 15 degrees. So this angle is 60 degrees.<BR>\n" );
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document.write( "The last angle is 6x or 6 times 15 degrees. So this angle is 90 degrees.<BR>\n" );
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document.write( "These results make it apparent that the triangle is a right triangle because one of the angles is 90 degrees.<BR>\n" );
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document.write( "Hope this helps you to see how this problem can be worked. Make sure that you understand the method.  Good luck with your math studies.<BR>\n" );
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