document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1061383>Question 1061383</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One acute angle of a right triangle is 36 degrees more than twice the other angle write an equation that can be used to find the measure of the smaller angle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #676156 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=676156\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let y be the smaller angle.<BR>\n" );
document.write( "let x be the larger angle.\r<BR>\n" );
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document.write( "first equation is x = 2y + 36<BR>\n" );
document.write( "second equation is x + y = 90\r<BR>\n" );
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document.write( "solve these two euations simultaneously and you get the answer you need.\r<BR>\n" );
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document.write( "x + y = 90 because these are two acute angles of a right triangle.\r<BR>\n" );
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document.write( "x = 2y + 36 because the larger angle is 36 more than 2 times the smaller angle.\r<BR>\n" );
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document.write( "replace x in the second equation by 2y + 36 from the first equation to get:\r<BR>\n" );
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document.write( "2y + 36 + y = 90\r<BR>\n" );
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document.write( "combine like terms to get 3y + 36 = 90\r<BR>\n" );
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document.write( "subtract 36 from both sides of this equation to get 3y = 90 - 36\r<BR>\n" );
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document.write( "simplify to get 3y = 54.\r<BR>\n" );
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document.write( "solve for y to get y = 18.\r<BR>\n" );
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document.write( "the larger angles is twice this plus 36 which makes the larger angle equal to 72 degrees.\r<BR>\n" );
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document.write( "18 + 72 = 90 degrees which confirms the solution is good.\r<BR>\n" );
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document.write( "the solution is that the smaller angle is equal to 18 degrees.\r<BR>\n" );
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