document.write( "Question 155103: The measures of two angles are in the ratio 5:3. The measure of the larger angle is 30 greater then half the difference of the angles. Find the measure of each angle. \r
\n" ); document.write( "\n" ); document.write( "I have: L=30+.5(L-S)
\n" ); document.write( "L/S=5/3 or 3L=5S
\n" ); document.write( "

Algebra.Com's Answer #114277 by edjones(8007)\"\" \"About 
You can put this solution on YOUR website!
Let b be the bigger and s the smaller.
\n" ); document.write( "5s=3b
\n" ); document.write( "s=3b/5
\n" ); document.write( ".
\n" ); document.write( "\"b=30%2B%28%28b-s%29%2F2%29\"
\n" ); document.write( "2b=60+b-s Multiply each side by 2 to eliminate the fraction.
\n" ); document.write( "\"2b=60%2Bb-%283b%2F5%29\" Substitute for s.
\n" ); document.write( "10b=300+5b-3b Multiply each side by 5 to eliminate the fraction.
\n" ); document.write( "8b=300
\n" ); document.write( "b=37.5
\n" ); document.write( "s=22.5
\n" ); document.write( ".
\n" ); document.write( "Ed
\n" ); document.write( "
\n" ); document.write( "
\n" );