document.write( "Question 179764: one angle of a triangle is 20 degrees., How large is the angle formed by the bisector of the other two angles? \n" ); document.write( "
Algebra.Com's Answer #134671 by Mathtut(3670) ![]() You can put this solution on YOUR website! lets call our angles a,b and c . we will call angle a=20. since this is a bisector then b=c. we know that a+b+c=180 \n" ); document.write( ": \n" ); document.write( "a=20.........eq 1 \n" ); document.write( "b=c..........eq 2 \n" ); document.write( "a+b+c=180....eq 3 \n" ); document.write( ": \n" ); document.write( "take value of a which is 20 from eq 1 and the fact that b=c and plug that into eq 3 \n" ); document.write( ": \n" ); document.write( "20+b+b=180 \n" ); document.write( ": \n" ); document.write( "2b=160 \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "solver is correct it would be \n" ); document.write( ": \n" ); document.write( "it is the angle formed by the bisectors they are after here. \n" ); document.write( ": \n" ); document.write( "That would be 180-(80/2)-(80/2)=100 degrees \n" ); document.write( " |