document.write( "Question 824873: If the ratio of the measures of the complementary angle to that of the supplementary angle of the given angle is 1:10. Find the ratio of the given angle with its complementary angle. \n" ); document.write( "

Algebra.Com's Answer #498815 by LinnW(1048) $\"\"$ $\"About$

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x = angle
\n" ); document.write( "(90 - x) = complement
\n" ); document.write( "(180 - x) = supplement
\n" ); document.write( " $\"%281%2F10%29=%28+%2890+-+x%29%2F%28180+-+x%29+%29\"$
\n" ); document.write( "do cross products
\n" ); document.write( " $\"10%2890-x%29+=+1%28180-x%29\"$
\n" ); document.write( " $\"900-10x+=+180-x\"$
\n" ); document.write( "add x to each side
\n" ); document.write( " $\"900-9x+=+180\"$
\n" ); document.write( "subtract 900 from each side
\n" ); document.write( " $\"-9x+=+-720\"$
\n" ); document.write( "divide each side by -9
\n" ); document.write( " $\"x+=+80\"$
\n" ); document.write( " \n" ); document.write( "

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