If the bisectors of the base angles of a triangle enclose an angle of `135^0,` prove that the triangle is a right triangle.

Explanation

To prove that triangle ABC is a right triangle given that the bisectors of the base angles B and C enclose an angle of 135 degrees, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Angles**:
Let \( \angle ABC = B \), \( \angle ACB = C \), and \( \angle BAC = A \). The angle bisectors of angles B and C meet at point D, forming \( \angle BDC = 135^\circ \).

2. **Use the Angle Sum Property**:
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