document.write( "Question 560100: Angles T and U are complementary, and their measures differ by 12 degrees. I have to find the measurements of them. Please help! \n" ); document.write( "

Algebra.Com's Answer #363665 by josmiceli(19441) $\"\"$ $\"About$

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Complementary means they add up to 90 degrees
\n" ); document.write( "given:
\n" ); document.write( " $\"+T+%2B+U+=+90+\"$
\n" ); document.write( " $\"+T+-+U+=+12+\"$
\n" ); document.write( "Add the equations
\n" ); document.write( " $\"+2T+=+102+\"$
\n" ); document.write( " $\"+T+=+51+\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"+T+%2B+U+=+90+\"$
\n" ); document.write( " $\"+51+%2B+U+=+90+\"$
\n" ); document.write( " $\"+U+=+90+-+51+\"$
\n" ); document.write( " $\"+U+=+39+\"$
\n" ); document.write( "The angles are 51 and 39 degrees \n" ); document.write( "

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