document.write( "Question 1048892: The measure of the angles supplement is 30 degrees more than five times that of its complement . Find the measure of the angle described \n" ); document.write( "

Algebra.Com's Answer #664553 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"A%2BS=180\"$
\n" ); document.write( "2. $\"A%2BC=90\"$
\n" ); document.write( "and
\n" ); document.write( " $\"S=30%2B5C\"$
\n" ); document.write( "Substituting into eq. 1,
\n" ); document.write( " $\"A%2B%2830%2B5C%29=180\"$
\n" ); document.write( "3. $\"A%2B5C=150\"$
\n" ); document.write( "Subtract eq. 2 from eq. 3,
\n" ); document.write( " $\"A%2B5C-A-C=150-90\"$
\n" ); document.write( " $\"4C=60\"$
\n" ); document.write( " $\"C=15\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"A%2B15=90\"$
\n" ); document.write( " $\"A=75\"$
\n" ); document.write( "and
\n" ); document.write( " $\"75%2BS=180\"$
\n" ); document.write( " $\"S=105\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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