document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=596747>Question 596747</A>: <I><SPAN STYLE=\"word-break: break-all;\"> angles PQR and ABC are supplementary, PQR is nine times larger than ABC determine the measures for each angle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #377899 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=377899\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, there--<BR>\n" );
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document.write( "Two angles are supplementary angles if the sum of their measures is 180 degrees.<BR>\n" );
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document.write( "We need to write expressions for the two angles using algebra. Let's have x be the measure of angle ABC.<BR>\n" );
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document.write( "In algebra, we write \"nine times larger than ABC\" as 9x. Thus the measure of angle PQR is 9x.<BR>\n" );
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document.write( "We know that the sum of the measures of these two angles is 180, or<BR>\n" );
document.write( "[measure of angle ABC] + [measure of angle PQR] = 180 degrees.<BR>\n" );
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document.write( "Our equation is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+9x+=+180 ALIGN=MIDDLE  ALT=\"x+%2B+9x+=+180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Combine like terms and solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x=180 ALIGN=MIDDLE  ALT=\"10x=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Divide both sides of the equation by 10 to isolate x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=18 ALIGN=MIDDLE  ALT=\"x=18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Our algebra steps show that the measure of angle ABC is x=18 degrees.<BR>\n" );
document.write( "The measure of angle PQR is 9x=9*18=162 degrees.<BR>\n" );
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document.write( "That's it. Feel free to email if you still have questions about this.<BR>\n" );
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document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex@gmail.com </SPAN>\n" );
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