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 the triangle is a right triangle given that the bisectors of the base angles enclose an angle of \(135^\circ\), we can follow these steps:

### Step 1: Define the Triangle and Angles
Let triangle \(ABC\) have \(AB\) as the base. Let \(AD\) be the bisector of angle \(A\) and \(BE\) be the bisector of angle \(B\). According to the problem, the angle enclosed by these bisectors, \(\angle ADB\), is \(135^\circ\).

### Step 2: Use the Angle Bisector Theorem
Since \(AD\) and \(BE\) are angle bisectors, we have:
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