document.write( "Question 926774: the ratio of the measure of a complement of an angle to the measure of a supplement is 1:3. find the measure of the angle, its complement, and its supplement. \n" ); document.write( "

Algebra.Com's Answer #562566 by Fombitz(32388) $\"\"$ $\"About$

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By definition,
\n" ); document.write( " $\"A%2BC=90\"$
\n" ); document.write( " $\"A%2BS=180\"$
\n" ); document.write( "Subtracting,
\n" ); document.write( " $\"S%2BA-C-A=180-90\"$
\n" ); document.write( " $\"S-C=90\"$
\n" ); document.write( "Also you know,
\n" ); document.write( " $\"C%2FS=1%2F3\"$
\n" ); document.write( " $\"S=3C\"$
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"3C-C=90\"$
\n" ); document.write( " $\"2C=90\"$
\n" ); document.write( " $\"C=45\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"S=3%2845%29\"$
\n" ); document.write( " $\"S=135\"$
\n" ); document.write( " \n" ); document.write( "

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