document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85856>Question 85856</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the measures of the acute angles of a right triangle in a ratio of 2:3   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62043 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=62043\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the fact that the sum of the angles in any triangle = 180 degrees.<BR>\n" );
document.write( "2x + 3x + 90 = 180 Combine like-terms.<BR>\n" );
document.write( "5x + 90 = 180  Subtract 90 from both sides.<BR>\n" );
document.write( "5x = 90  Divide both sides by 5.<BR>\n" );
document.write( "x = 18<BR>\n" );
document.write( "2x = 36<BR>\n" );
document.write( "3x = 54<BR>\n" );
document.write( "The measures of the acute angles in a right triangle whose ratio is 2:3 are:<BR>\n" );
document.write( "36 degrees and 54 degrees. </SPAN>\n" );
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