document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191304>Question 1191304</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the drawing in which <BR>\n" );
document.write( "AC intersects DB<BR>\n" );
document.write( " at point O to answer the question.\r<BR>\n" );
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document.write( "Two lines intersect at point O to form four angles.<BR>\n" );
document.write( "Line A C goes from point A in the top left, through point O in the center, to point C in the bottom right.<BR>\n" );
document.write( "Line D B goes from point D in the bottom left, through O on line A C, to point B in the top right.<BR>\n" );
document.write( "The angle at the bottom, ∠C O D, is labeled 1.<BR>\n" );
document.write( "The angle on the left, ∠D O A, is labeled 2.<BR>\n" );
document.write( "The angle at the top, ∠A O B, is labeled 3.<BR>\n" );
document.write( "The angle on the right, ∠B O C, is labeled 4.<BR>\n" );
document.write( "If <BR>\n" );
document.write( "m∠2 = (x + 40)°<BR>\n" );
document.write( " and <BR>\n" );
document.write( "m∠3 = (3x)°,<BR>\n" );
document.write( " find x and m∠2 in degrees.<BR>\n" );
document.write( "x	=	<BR>\n" );
document.write( "m∠2	=	<BR>\n" );
document.write( " ° </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823124 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=823124\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Use the drawing in which<BR>\n" );
document.write( "AC intersects DB<BR>\n" );
document.write( "at point O to answer the question.<BR>\n" );
document.write( "Two lines intersect at point O to form four angles.<BR>\n" );
document.write( "Line A C goes from point A in the top left, through point O in the center, to point C in the bottom right.<BR>\n" );
document.write( "Line D B goes from point D in the bottom left, through O on line A C, to point B in the top right.<BR>\n" );
document.write( "The angle at the bottom, ∠C O D, is labeled 1.<BR>\n" );
document.write( "The angle on the left, ∠D O A, is labeled 2.<BR>\n" );
document.write( "The angle at the top, ∠A O B, is labeled 3.<BR>\n" );
document.write( "The angle on the right, ∠B O C, is labeled 4.<BR>\n" );
document.write( "If<BR>\n" );
document.write( "m∠2 = (x + 40)°<BR>\n" );
document.write( "and<BR>\n" );
document.write( "m∠3 = (3x)°,<BR>\n" );
document.write( "find x and m∠2 in degrees.<BR>\n" );
document.write( "x =<BR>\n" );
document.write( "m∠2 =<BR>\n" );
document.write( "°<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Make a sketch.\r\n" );
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document.write( "Angle 2 (DOA) and angle 3 (AOB) are supplementary angles:  they sum up to 180°.\r\n" );
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document.write( "So we write this equation\r\n" );
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document.write( "    x + 40 = 3x  degrees.\r\n" );
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document.write( "Simplify this equation and find x\r\n" );
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document.write( "        40 = 3x - x\r\n" );
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document.write( "        40 =   2x\r\n" );
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document.write( "         x =   40/2 = 20 degrees.\r\n" );
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document.write( "Thus we just found  x= 20 degrees.\r\n" );
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document.write( "Hence,  m (∠2) = x + 40 = 20 + 40 = 60 degrees.\r\n" );
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document.write( "<U>ANSWER</U>.  x= 20° ;  m (∠2) = 60°.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "------------------\r<BR>\n" );
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document.write( "To learn about supplementary angles, &nbsp;read the lessons\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Angles/Angles-basics.lesson>Angles basics</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Angles/Vertical-Angles-.lesson>Vertical angles</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/word/geometry/How-to-solve-problems-on-suppl-compl-or-vertical-angles-Examples.lesson>HOW TO solve problems on supplementary, complementary or vertical angles - Examples</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Points-lines-and-rays/Solved-problems-on-supplementary-and-complementary-angles-and-pairs-of-angles.lesson>Solved problems on supplementary and complementary angles</A><BR>\n" );
document.write( "in this site.\r<BR>\n" );
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document.write( "Consider these lessons as your handbook, &nbsp;textbook, &nbsp;guide, &nbsp;tutorials and &nbsp;(free of charge) &nbsp;home teacher.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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