document.write( "Question 507543: The ratio of an angle to its supplement is 3:7. Find the Ratio of the angle to it's complement. PLEASE Help \n" ); document.write( "

Algebra.Com's Answer #340659 by Fombitz(32388) $\"\"$ $\"About$

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Let $\"A\"$ be the angle, $\"S\"$ the supplement, and $\"C\"$ the complement.
\n" ); document.write( "By definition,
\n" ); document.write( "1. $\"A%2BC=90\"$
\n" ); document.write( "2. $\"A%2BS=180\"$
\n" ); document.write( "It's given that,
\n" ); document.write( " $\"A%2FS=3%2F7\"$
\n" ); document.write( " $\"3S=7A\"$
\n" ); document.write( " $\"S=%287%2F3%29A\"$
\n" ); document.write( "From eq. 2,
\n" ); document.write( " $\"A%2BS=180\"$
\n" ); document.write( " $\"A%2B%287%2F3%29A=180\"$
\n" ); document.write( " $\"%2810%2F3%29A=180\"$
\n" ); document.write( " $\"A=180%2A%283%2F10%29\"$
\n" ); document.write( " $\"A=54\"$
\n" ); document.write( "Then from 1,
\n" ); document.write( " $\"A%2BC=90\"$
\n" ); document.write( " $\"54%2BC=90\"$
\n" ); document.write( " $\"C=90-54\"$
\n" ); document.write( " $\"C=36\"$
\n" ); document.write( "Then
\n" ); document.write( " $\"A%2FC=54%2F36=9%2F6=highlight%283%2F2%29\"$ \n" ); document.write( "

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