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 of a triangle enclose an angle of \(135^\circ\), we can follow these steps:

### Step 1: Identify the Given Information
We are given that the angle formed by the bisectors of the base angles (let's denote the triangle as \(ABC\) where \(AB\) is the base) is \( \angle BOC = 135^\circ \).

### Step 2: Use the Angle Sum Property in Triangle BOC
In triangle \(BOC\), we can apply the angle sum property which states that the sum of the angles in a triangle is \(180^\circ\). Therefore, we can write:

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