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Define terms:
\n" ); document.write( "x = unknown angle
\n" ); document.write( "The complement will be defined in terms of x, so it is 90 - x.
\n" ); document.write( "Likewise, the supplement will be in terms of x, to it is 180 - x.
\n" ); document.write( "The question's setup tells us the relationship of the complement and supplement.
\n" ); document.write( "(180 - x) is 90 degrees greater than the complement (90 - x).
\n" ); document.write( "(180 - x) = (90 - x) + 90 OR
\n" ); document.write( "(180 - x) - 90 = (90 - x)
\n" ); document.write( "Simplifying the equations we have:
\n" ); document.write( "90 - x = 90 - x.
\n" ); document.write( "That is a tautology.
\n" ); document.write( "It seems the supplement of an angle must be 90 degrees greater than the complement of the angle.
\n" ); document.write( "To test this theory, let's try a few values of x.
\n" ); document.write( "Say, x = 0: (180 - 0) = (90 - 0) + 90. True
\n" ); document.write( "Say, x = 89: (180 - 89) = (90 - 89) + 90. True
\n" ); document.write( "Say, x = 45: (180 - 45) = (90 - 45) + 90. True
\n" ); document.write( "This question appears to ask you to understand the definitions of complement and supplement.
\n" ); document.write( "The complement is the angle that, when added to x, totals 90 degrees.
\n" ); document.write( "The supplement is the angle that, when added to x, totals 180 degrees.
\n" ); document.write( "So the supplement will always be 90 degrees more than the complement. \n" ); document.write( "