document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=902741>Question 902741</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the measures of the two acute angles in a right triangle is 90 and their difference is 16. find the measure of each angle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #547497 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=547497\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sum of angles is 90: x+y = 90<BR>\n" );
document.write( "Difference is 16: x-y = 16 (this implies x > y)\r<BR>\n" );
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document.write( "x+y = 90<BR>\n" );
document.write( "x-y = 16\r<BR>\n" );
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document.write( "Add the equations\r<BR>\n" );
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document.write( "x+y = 90<BR>\n" );
document.write( "x-y = 16<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "2x+0y = 106\r<BR>\n" );
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document.write( "So we have\r<BR>\n" );
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document.write( "2x = 106\r<BR>\n" );
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document.write( "x = 106/2\r<BR>\n" );
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document.write( "x = 53\r<BR>\n" );
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document.write( "Use this to find y\r<BR>\n" );
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document.write( "x+y = 90\r<BR>\n" );
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document.write( "53+y = 90\r<BR>\n" );
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document.write( "y = 90-53\r<BR>\n" );
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document.write( "y = 37\r<BR>\n" );
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document.write( "So the two angles are 53 degrees and 37 degrees. </SPAN>\n" );
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