In 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 in quadrilateral ABCD, diagonal AC bisects angles A and C, leading to the conclusion that AB = AD and CB = CD, we can follow these steps:

### Step 1: Identify the triangles
We will consider triangles ABC and ADC. Since AC bisects angles A and C, we can denote:
- Angle DAC = Angle BAC (because AC bisects angle A)
- Angle DCA = Angle BCA (because AC bisects angle C)

### Step 2: State the common side
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