Can you use the asa postulate or the aas theorem to prove the triangles congruent? by aas only neither apply by asa only both apply

(C) by ASA only

Step-by-step 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.

the first option is the answer.