Question

If one angle of a triangle is 130 then the angle between the bisectors of the other two angles is

Answer 1

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

Answer 2

Angle A=130

A+B+C=180

130+B+C=180

B+C=50

1/2 B +1/2 C=50/2

1/2 B + 1/2 C=25

1/2 B + 1/C + D=180

25 + D=180

D=155

hope! it will help you.