document.write( "Question 531751: The measure of two supplementary angles are in the Ratio 11:13. Find the measure of each angle.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #350590 by oberobic(2304) $\"\"$ $\"About$

You can put this solution on YOUR website!
The two supplementary angles total 180 degrees by definition.
\n" ); document.write( "They have a ratio of 11:13, so we can define:
\n" ); document.write( "11x + 13x = 180
\n" ); document.write( "24x = 180
\n" ); document.write( "x = 180/24
\n" ); document.write( "x = 15/2
\n" ); document.write( ".
\n" ); document.write( "11x = 11*15/2 = 165/2 = 82.5
\n" ); document.write( "13x = 13*15/2 = 195/2 = 97.5
\n" ); document.write( ".
\n" ); document.write( "Do they total 180 degrees?
\n" ); document.write( "82.5 + 97.5 = 180.
\n" ); document.write( "Yes.
\n" ); document.write( ".
\n" ); document.write( "Is their ratio 11:13?
\n" ); document.write( "82.5/97.5 = 11/13.
\n" ); document.write( "Correct.
\n" ); document.write( ".
\n" ); document.write( "The supplementary angles are 82.5 and 97.5 degrees.
\n" ); document.write( ".
\n" ); document.write( "Done. \n" ); document.write( "

\n" );