document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=482547>Question 482547</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the five steps for problem solving to answer the following question. Please show all of your work.\r<BR>\n" );
document.write( "\n" );
document.write( "Angle P and Angle Q are supplementary angles. If Angle Q is ten less than four times Angle P, what are 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 #330537 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=330537\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "Since angles P & Q are supplementary, then P + Q = 180\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Since angle Q is 10 less than 4 times angle P, then we can say that: Q = 4P – 10 ------ - 4P + Q = - 10\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "     P + Q  = 180 -------- eq (i) <BR>\n" );
document.write( "– 4P + Q = - 10 --------- eq (ii)<BR>\n" );
document.write( "  4P + 4Q = 720 ------- eq (iii) -------- Multiplying eq (i) by 4<BR>\n" );
document.write( "5Q = 710 ------ Adding eq (ii) and (iii)<BR>\n" );
document.write( "Angle Q = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=710%2F5 ALIGN=MIDDLE  ALT=\"710%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28142%5Eo%29 ALIGN=MIDDLE  ALT=\"highlight_green%28142%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Substituting 142 for Q in eq (i) results in: P + 142 = 180\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Angle P = 180 – 142 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2838%5E0%29 ALIGN=MIDDLE  ALT=\"highlight_green%2838%5E0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "------------<BR>\n" );
document.write( "Check<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Angle Q = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=142%5Eo ALIGN=MIDDLE  ALT=\"142%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
document.write( "\n" );
document.write( "Angle P = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38%5Eo ALIGN=MIDDLE  ALT=\"38%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so 4 times angle P = 4 * 38 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=152%5Eo ALIGN=MIDDLE  ALT=\"152%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "It can be seen that angle Q (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=142%5Eo ALIGN=MIDDLE  ALT=\"142%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >) is 10 less than 4 times angle P (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=152%5Eo ALIGN=MIDDLE  ALT=\"152%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Send comments and “thank-yous” to MathMadEzy@aol.com </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );