document.write( "Question 287286: The measure of angle A of a triangle is 20 degrees more than the measure of angle B. The measures of the angles are in a ratio of 3 to 4. Find the measure of each. \n" ); document.write( "
Algebra.Com's Answer #208236 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "1) a=b+20 \n" ); document.write( "2) 3/4=b/a \n" ); document.write( "Only these two equations are needed \n" ); document.write( "3/4=b/(b+20) \n" ); document.write( "4b=3*(b+20) \n" ); document.write( "4b=3b+60 \n" ); document.write( "b=60 \n" ); document.write( "a=b+20=80 \n" ); document.write( "a=80 \n" ); document.write( "a+b+c=180 \n" ); document.write( "a=80,b=60, c=40\r \n" ); document.write( "\n" ); document.write( "Curiously the relationship is not 3/4=a/b \n" ); document.write( "3/4=a/b \n" ); document.write( "a=b+20 \n" ); document.write( "3/4=b+20/b \n" ); document.write( "3b=4*(b+20) \n" ); document.write( "3b=4b+80 \n" ); document.write( "-80=b \n" ); document.write( "-60=a \n" ); document.write( "This way they have negative angles. \n" ); document.write( " \n" ); document.write( " |