document.write( "Question 334160: The measure of the angle's complement is one-fourth of its supplement. Find the measure of the angle. \n" ); document.write( "

Algebra.Com's Answer #240735 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"A%2BC=90\"$
\n" ); document.write( "2. $\"A%2BS=180\"$
\n" ); document.write( "3. $\"C=%281%2F4%29S\"$
\n" ); document.write( "Subtract eq. 1 from eq. 2,
\n" ); document.write( " $\"A%2BS-A-C=180-90\"$
\n" ); document.write( " $\"S-C=90\"$
\n" ); document.write( "Substitute eq. 3,
\n" ); document.write( " $\"S-S%2F4=90\"$
\n" ); document.write( " $\"%283%2F4%29S=90\"$
\n" ); document.write( " $\"S=120\"$ degrees
\n" ); document.write( " $\"C=S%2F4=30\"$ degrees
\n" ); document.write( " $\"A=90-C=60\"$ degrees \n" ); document.write( "

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