Given:
One angle of the triangle is 130 degrees.

To Find:
The angle between the bisectors of the other two angles.

Solution:

In a triangle, the sum of the three angles is always 180 degrees. Let's denote the three angles of the triangle as A, B, and C, with angle A being 130 degrees.

Step 1: Find the measures of the other two angles.
Since the sum of the angles in a triangle is 180 degrees, we can find the measures of the other two angles by subtracting the given angle from 180.
Angle B + Angle C = 180 - Angle A
Angle B + Angle C = 180 - 130
Angle B + Angle C = 50

Step 2: Find the bisectors of angles B and C.
To find the bisectors of angles B and C, we need to divide each angle into two equal parts.

Step 3: Find the angle between the bisectors.
The angle between the bisectors of angles B and C can be found by subtracting the smaller bisected angle from the larger bisected angle.
Let the bisected angle of B be B1 and the bisected angle of C be C1.
Angle between the bisectors = B1 - C1

Step 4: Calculate the bisected angles.
To calculate the bisected angles, we divide the measures of angles B and C by 2.
B1 = Angle B/2
C1 = Angle C/2

Step 5: Substitute the values and calculate the angle between the bisectors.
Angle between the bisectors = B1 - C1
Angle between the bisectors = (Angle B/2) - (Angle C/2)
Angle between the bisectors = (50/2) - (50/2)
Angle between the bisectors = 25 - 25
Angle between the bisectors = 0 degrees

Answer:
The angle between the bisectors of the other two angles is 0 degrees.