document.write( "Question 380218: The sum of a complement of an angle and the supplement of the same angle is thirteen times the size of the original angle. Find the size of th original angle?\r
\n" ); document.write( "\n" ); document.write( "Can anybody help me out with this one?
\n" ); document.write( "

Algebra.Com's Answer #269852 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Hi,
\n" ); document.write( "Let x represent the original angle, (90°-x)its complement and (180°-x) its supplement
\n" ); document.write( "Write as we Read***
\n" ); document.write( "(90°-x) + (180°-x) = 13x
\n" ); document.write( "solving for x
\n" ); document.write( "270° - 2x = 13x
\n" ); document.write( "270° = 15x
\n" ); document.write( " 18° = x\r
\n" ); document.write( "\n" ); document.write( "CHECKING our Answer***
\n" ); document.write( "72° + 162° = 234° = 13*18° \n" ); document.write( "
\n" );