Step-by-step explanation:
We know that AB = CD and that ∠ABD = CBD because it is given information.
Then, we have that BD = BD because a side is congruent to itself. It is called the reflexive property of congruence.
Now, we can say that ΔABD = ΔBDC by SAS (Side - Angle - Side) because we have two congruent sides and the angle between them is also congruent
Finally, ∠A = ∠C because the corresponding sides of congruent triangles are congruent
Answer:
Therefore, the answer is