Question

If one of the angles of a triangle is 130° , then find the measure of the angle between the bisectors of the other two angles .

Answer 1

Answer:

Let there be angles a b c

a+b+c=180°

let a be 130

b+c=50°

ln the triangle formed by bisectors

1/2c+1/2b+d=180

since

b+c=50°

therefore

1/2c+1/2b=50/2°

1/2c+1/2b=25°

therefore

1/2c+1/2b+d=180

since

1/2c+1/2b=25°

therefore

d=155°

d is the angle between bisectors.