document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208855>Question 1208855</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of the complements of two angles is 3:2, and the ratio of their supplements is 9:8. Find the two original angles. </SPAN>\n" );
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document.write( "Given that the ratio of the complements of the two angles is 3:2, let the measures of those complements be 3x and 2x.<br><BR>\n" );
document.write( "That is a very common way to start on a problem where the ratio of two numbers is given.<br><BR>\n" );
document.write( "The supplement of any angle is 90 degrees more than the complement.  So the measures of the two supplements are 3x+90 and 2x+90.<br><BR>\n" );
document.write( "The ratio of the supplements is 9:8.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B90%29%2F%282x%2B90%29=9%2F8 ALIGN=MIDDLE  ALT=\"%283x%2B90%29%2F%282x%2B90%29=9%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18x%2B810=24x%2B720 ALIGN=MIDDLE  ALT=\"18x%2B810=24x%2B720\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x=90 ALIGN=MIDDLE  ALT=\"6x=90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=15 ALIGN=MIDDLE  ALT=\"x=15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The complements of the two angles are 3x=45 degrees and 2x=30 degrees, so the two angles are 90-45=45 degrees and 90-30=60 degrees.<br><BR>\n" );
document.write( "ANSWERS: 45 and 60 degrees<br><BR>\n" );
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