Trisha and her co-worker are making plans about where to go for lunch. Since they are having trouble making a decision, Trisha says, "Look, let's just go wherever you'd like." What conflict-handling style is Trisha demonstrating?

Obliging

Explanation:

In conflict handling, Obliging refers to accommodating the other person's demand even though by doing that you have to sacrifice your personal preference.

This can been in Trisha's situation.

When she said "Look, let's just go wherever you'd like.", she basically gave all the power of choice to co-worker. This means that the co-worker will most likely get his/her preference while Trisha will most likely have to settle.