Question:
If ABCD is a quadrilateral such that diagonal AC bisects the angles A and C,then prove that AB = AD and CB = CD.
Solution:
Given in a quadrilateral $A B C D$, diagonal $A C$ bisects the angles $A$ and $C$.
To prove $A B=A D$ and $C B=C D$
Proof in $\triangle A D C$ and $\triangle A B C$,