document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=939628>Question 939628</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The consecutive angles of a parallelogram measure (x+30)deg and 4x deg.  What is the smallest angle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #572613 by </B><A HREF=/tutors/aboutme.mpl?userid=laoman><B>laoman(51)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=laoman><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=laoman><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=572613\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a parallelogram, the sum of the consecutive angles is 180 degrees<BR>\n" );
document.write( "Therefore, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Ax%2Bx%2B30=180 ALIGN=MIDDLE  ALT=\"4%2Ax%2Bx%2B30=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "5*x+30 =180<BR>\n" );
document.write( "5*x = 180-30<BR>\n" );
document.write( " x=150/5 = 30\r<BR>\n" );
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document.write( "Knowing x, we can find the angles first, which are<BR>\n" );
document.write( "4*x=4*30=120<BR>\n" );
document.write( "and x+30=30+30=60\r<BR>\n" );
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document.write( "Since the remaining two angles of the parallelogram are also 120 and 60 , the smallesr angle is 60 degrees.<BR>\n" );
document.write( "Don't forget your units\r<BR>\n" );
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document.write( "QED<BR>\n" );
document.write( " </SPAN>\n" );
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