Respuesta :

angle side angle theorem i believe?
angle (the one with the arc), the tick (side), then the angle (the vertical angle). 

Answer:

(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.

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