document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=342243>Question 342243</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the measures of two complementary angles exceeds the difference of the measures of their supplements by 32 degrees.  Find the measure of 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 #244940 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=244940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the measures of two complementary angles exceeds the difference of the measures of their supplements by 32 degrees.  Find the measure of each angle.\r<BR>\n" );
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document.write( "Let the 1st angle be A, then the 2nd angle or the complement of the 1st angle = 90 – A\r<BR>\n" );
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document.write( "The supplement of the 1st angle would then be 180 – A, and the supplement of the 2nd angle = 180 – (90 – A), or 180 – 90 + A, or 90 + A\r<BR>\n" );
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document.write( "Now, since the sum of the measures of the two complementary angles exceeds the difference of the measures of their supplements by 32 degrees, then we’ll have:\r<BR>\n" );
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document.write( "A + 90 – A = 180 – A – (90 + A) + 32\r<BR>\n" );
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document.write( "90 = 180 – A – 90 – A + 32\r<BR>\n" );
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document.write( "90 = 122 – 2A\r<BR>\n" );
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document.write( "2A  = 122 – 90___2A = 32\r<BR>\n" );
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document.write( "A, or 1st angle = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32%2F2 ALIGN=MIDDLE  ALT=\"32%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2816%5Eo%29 ALIGN=MIDDLE  ALT=\"highlight_green%2816%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the measure of the 2nd angle = 90 – 16, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2874%5Eo%29 ALIGN=MIDDLE  ALT=\"highlight_green%2874%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The sum of the complement angles or 90 (16 + 74), exceeds the difference of their complements, 164 (180 - 16) and 106 (180 - 74) or 58 (164 - 106) by 32.\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to MathMadEzy@aol.com </SPAN>\n" );
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