In a triangle `A B C ,` if `A B=A C\ a n d\ A B` is produced to `D` such that `B D=B C ,` find `/_A C D\ :\ /_A D C`

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the Triangle and Given Conditions
We have a triangle \( ABC \) where \( AB = AC \). This means that triangle \( ABC \) is isosceles with angles \( \angle ABC = \angle ACB \).

### Step 2: Define Angles
Let \( \angle ABC = \angle ACB = X \). Since \( AB \) is produced to \( D \) such that \( BD = BC \), we need to find the angles \( \angle ACD \) and \( \angle ADC \).

...