Answer:
(C) by ASA only
Explanation:
Let us name the given figure, there are two triangles that areΔABO and ΔCOD.
Thus, from ΔABO and ΔCOD, we have
∠ABO=∠DCO(Given in the question)
BO=DO( given in question)
∠AOB=∠COD(Vertically opposite angles)
Therefore, by ASA rule,
ΔABO ≅ΔCOD
Therefore, only ASA rule can be applied on the given figure.
Hence, option C is correct.