document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1124950>Question 1124950</A>: <I><SPAN STYLE=\"word-break: break-all;\"> on line l, the measure of angle p=21x + 25 and the measure of angle n=675x-27/3 define the value of x and determine the measure of angle p and n in degrees ( the angles are supplementary if that helps ) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #741272 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=741272\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the fact that the angles are supplementary doesn't just help.<BR>\n" );
document.write( "it's necessary.\r<BR>\n" );
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document.write( "p is the first angle.<BR>\n" );
document.write( "n is the second angle.\r<BR>\n" );
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document.write( "since they're supplementary, their sun is 180 degrees, therefore:\r<BR>\n" );
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document.write( "p + n = 180\r<BR>\n" );
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document.write( "since p = 21x + 25 and n = 675x - 27/3, then:\r<BR>\n" );
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document.write( "p + n = 180 becomes 21x + 25 + 675x - 27/3 = 180.\r<BR>\n" );
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document.write( "since 25 = 75/3, the equation becomes 21x + 75/3 + 675x - 27/3 = 180.\r<BR>\n" );
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document.write( "combine like terms to get 696x + 48/3 = 180.\r<BR>\n" );
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document.write( "subtract 48/3 from both sides of the equation to get 696x = 180 - 48/3.\r<BR>\n" );
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document.write( "since 180 = 540/3, this equaiton becomes 696x = 540/3 - 48/3.\r<BR>\n" );
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document.write( "combine like terms to get 696x = 492/3.\r<BR>\n" );
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document.write( "solve for x to get x = 492 / 3 * 1 / 696 = .2356321839.\r<BR>\n" );
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document.write( "that's the value of x.\r<BR>\n" );
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document.write( "if that value of x is good, then 21x + 25 + 675x - 27/3 = 180 should be true when x = .2356321839.\r<BR>\n" );
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document.write( "evaluate this equati0on and you get 180 = 180, which is true.\r<BR>\n" );
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document.write( "this confirms the solution is correct.\r<BR>\n" );
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document.write( "your solution is:\r<BR>\n" );
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document.write( "x = .2356321839.\r<BR>\n" );
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document.write( "the first angle is 21 * x + 25 = 29.94827586 degrees.\r<BR>\n" );
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document.write( "the second angle is 675 * x - 27/3 = 150.0517241.\r<BR>\n" );
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document.write( "the sum of the angles is 29.94827586 + 150.0517241 = 180.\r<BR>\n" );
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document.write( "i used the numbers stored in the calculator and not what the calculator displayed, since what the calculator displays is a rounded version of the number stored in the calculator.\r<BR>\n" );
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document.write( "if i used the numbers displayed, i would have gotten the sum of the angles equals 29.94827586 + 150.0517241 = 179.99999996.\r<BR>\n" );
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document.write( "it's very close but it's not right on.<BR>\n" );
document.write( "using the numbers stored in the calculator provides a more accurate answer.                                                                        </SPAN>\n" );
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