document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=996068>Question 996068</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The measure of angle A is 30 degrees less than twice the measure of angle B . Find the measure of each angle of the parallelogram .  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #614710 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=614710\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A = 2 * B - 30<BR>\n" );
document.write( "in a parallelogram, opposite angles are equal.<BR>\n" );
document.write( "sum of the angles in a parallelogram is 360 degrees.<BR>\n" );
document.write( "this means that 2A + 2B = 360.<BR>\n" );
document.write( "divide both sides of this equation by 2 to get:<BR>\n" );
document.write( "A + B = 180.\r<BR>\n" );
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document.write( "if A + B = 180 and A = 2 * B - 30, then 2 * B - 30 + B = 180.\r<BR>\n" );
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document.write( "combine like terms to get 3 * B - 30 = 180.<BR>\n" );
document.write( "add 30 to both sides of this equation to get 3 * B = 210.<BR>\n" );
document.write( "divide both sides of this equation by 3 to get B = 70 degrees.\r<BR>\n" );
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document.write( "if B = 70 degrees, then A must be equal to 110 degrees because 2 * 70 - 30 = 110.\r<BR>\n" );
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document.write( "if your parallelogram is ABCD (points are clockwise from top left), then:\r<BR>\n" );
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document.write( "angle A = 110<BR>\n" );
document.write( "angle B = 70<BR>\n" );
document.write( "angle C = 110<BR>\n" );
document.write( "angle D = 70\r<BR>\n" );
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document.write( "sum of the angles is 220 + 140 = 360 as it should be.<BR>\n" );
document.write( "angle A = angle C because opposite angles of a parallelogram are equal.<BR>\n" );
document.write( "likewise angle B = angle D.<BR>\n" );
document.write( "angle A is supplementary to angle B because adjacent angles of a parallelogram are supplementary.<BR>\n" );
document.write( "likewise angle B is supplementary to angle C<BR>\n" );
document.write( "likewise angle C is supplementary to angle D<BR>\n" );
document.write( "likewise angle D is supplementary to angle A.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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