Answer: Avoiding
Step-by-step explanation:
Conflict handling mechanism is the technique through which disputes,argument or any other conflict can be managed through taking appropriate measure. Conflicts can be ignored, avoided,settled, managed , compromised etc.
According to the question,Angelina is avoiding conflict with Lindsay through not arguing about her loud talking on phone.Thus, no conflict between them can occur.
Other options are incorrect because competing, accommodation , compromise and collaboration is not the technique of conflict management used by Angelina.Thus, the correct option is avoiding.