document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=425895>Question 425895</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Opposite angles have the same meausres. Each of the two larger angles in a parallelogram is 20degrees less than 3 times the smaller angles.  Find the measure of each angle.  Answer is the smaller angles are 50 and the larger angles are 130 but how do I come up with this? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #296391 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=296391\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = the smaller angle<BR>\n" );
document.write( "3*x - 20 = the larger angle\r<BR>\n" );
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document.write( "there are 2 smaller angles and 2 larger angles in a parallelogram.\r<BR>\n" );
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document.write( "sum of all interior angles in a parallelogram is equal to 360 degrees.\r<BR>\n" );
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document.write( "formula is:<BR>\n" );
document.write( "2*x + 2*(3*x-20) = 360<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "2*x + 6*x - 40 = 360<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "8*x - 40 = 360<BR>\n" );
document.write( "add 40 to both sides of equation to get:<BR>\n" );
document.write( "8*x = 400<BR>\n" );
document.write( "divide both sides of equation by 8 to get:<BR>\n" );
document.write( "x = 50 (smaller angle)<BR>\n" );
document.write( "3*x - 20 = 130 (larger angle)\r<BR>\n" );
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document.write( "fyi:\r<BR>\n" );
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document.write( "formula for determining the sum of the interior angles of a polygon is:\r<BR>\n" );
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document.write( "S = (n-2)*180\r<BR>\n" );
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document.write( "S = sum of the interior angles.<BR>\n" );
document.write( "n = number  of sides.\r<BR>\n" );
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document.write( "in a parallelogram, there are 4 sides.<BR>\n" );
document.write( "replace n with 4 to get:\r<BR>\n" );
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document.write( "S = 180*(4-2) = 180*2 = 360.\r<BR>\n" );
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document.write( "for a triangle, there are 3 sides.<BR>\n" );
document.write( "replace n with 3 to get:\r<BR>\n" );
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document.write( "S = 180*(3-2) = 180*1 = 180.\r<BR>\n" );
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document.write( "works well.\r<BR>\n" );
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document.write( "here's a reference if you're interested.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.freemathhelp.com/feliz-interior-polygon.html\" target = \"_blank\">http://www.freemathhelp.com/feliz-interior-polygon.html</a>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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