She angrily hung up the phone.

Literal

She [topic-は] got-angry [and-て] phone [object-を] hung-up.

電話を切る ('to cut the phone') is the standard Japanese expression for hanging up — the verb 切る ('to cut') is used figuratively. The て-form of 怒る provides the emotional context. A compact, natural sentence that a learner can use directly.