document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=208683>Question 208683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two opposite angles of a parallelogram have measures 3x-20 and 2(x+5) respectively. Find the measures of the angles<BR>\n" );
document.write( "Two consecutive angles of a parallelogram have measures 4(x+5) and 2(3x+20) respectively. Find the measures of the angles.<BR>\n" );
document.write( "Two consecutive angles of a parallelogram have measures 2(x+12) and 2(5x+6) respectively. Find the measures of the angles.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157915 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=157915\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember  opposite  angles  of  a  parallelogram  are  congruent(equal)<BR>\n" );
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document.write( "and,,,if  parallel  lines  cut  by  transversal,,same  side  interior  angles  are  supplementary,,,,,,or  consecutive  angles  of  a  parallelogram  are  supplemental<BR>\n" );
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document.write( "a),,,3x-20 = 2(x+5) =2x+10<BR>\n" );
document.write( "x=30<BR>\n" );
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document.write( "Angles  are  70 degrees<BR>\n" );
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document.write( "check,,,3(30)-20=70=2(30+5),,,,,ok<BR>\n" );
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document.write( "b),,,4(x+5) + 2(3x+20) =180<BR>\n" );
document.write( "4x +20 +6x +40 =180<BR>\n" );
document.write( "10x = 120<BR>\n" );
document.write( "x=12<BR>\n" );
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document.write( "Angles  are,,68,,,112<BR>\n" );
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document.write( "4(12+5)=68,,,,2(3*12+20)=112,,,68+112=180,,,,ok<BR>\n" );
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document.write( "c),,,2(x+12) + 2(5x+6) = 180<BR>\n" );
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document.write( "2x +24 +10x +12 = 180<BR>\n" );
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document.write( "12x = 180-36=144<BR>\n" );
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document.write( "x=12.<BR>\n" );
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document.write( "angles  are,,48,,,,132<BR>\n" );
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document.write( "check ,,,48 +132 =180,,,ok </SPAN>\n" );
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