In the figure, diagonal `A C` of a quadrilateral `A B C D` bisects the angles `A` and `C` . Prove that `A B=A D` and `C B=CD`

Explanation

To prove that \( AB = AD \) and \( CB = CD \) given that diagonal \( AC \) bisects angles \( A \) and \( C \) in quadrilateral \( ABCD \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Angles**:
Since diagonal \( AC \) bisects angles \( A \) and \( C \), we can write:
\[
\angle BAC = \angle DAC \quad \text{(1)}
...