document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=631521>Question 631521</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of the measures of two obtuse angles is 215,the sum of 3/5 of the supplement of the smaller angle and 2/3 the supplement of larger angle is 91. find the measure 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 #397695 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10557)</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=397695\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "the sum of the measures of two obtuse angles is 215,the sum of 3/5 of the supplement of the smaller angle and 2/3 the supplement of larger angle is 91. find the measure of the angles.\r<BR>\n" );
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document.write( "Let larger angle be L, and smaller S<BR>\n" );
document.write( "Then: L + S = 215 ---- L = 215 – S ------ eq (i)<BR>\n" );
document.write( "Supplement of the larger angle = 180 – L<BR>\n" );
document.write( "Supplement of the smaller angle = 180 – S\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5%2A%28180+-+S%29+%2B+2%2F3%2A%28180+-+L%29+=+91 ALIGN=MIDDLE  ALT=\"3%2F5%2A%28180+-+S%29+%2B+2%2F3%2A%28180+-+L%29+=+91\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28540+-+3S%29%2F5+%2B+%28360+-+2L%29%2F3+=+91 ALIGN=MIDDLE  ALT=\"%28540+-+3S%29%2F5+%2B+%28360+-+2L%29%2F3+=+91\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "3(540 – 3S) + 5(360 – 2L) = 1,365 ------ Multiplying by LCD, 15<BR>\n" );
document.write( "1,620 – 9S + 1,800 – 10L = 1,365 <BR>\n" );
document.write( "– 10L – 9S = - 2,055 ------ eq (ii) \r<BR>\n" );
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document.write( "- 10(215 – S) – 9S = - 2,055 ------- Substituting 215 – S for L in eq (ii) <BR>\n" );
document.write( "– 2,150 + 10S – 9S = - 2,055 <BR>\n" );
document.write( "S = - 2,055 + 2,150 <BR>\n" );
document.write( "S, or smaller angle = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2895%29 ALIGN=MIDDLE  ALT=\"highlight_green%2895%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "L = 215 – 95 ------ Substituting 95 for S in eq (i)\r<BR>\n" );
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document.write( "L, or larger angle = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28120%29 ALIGN=MIDDLE  ALT=\"highlight_green%28120%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at  MathMadEzy@aol.com </SPAN>\n" );
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