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The sentence that uses both a participial an an infinitive phrase is 3. Annoying me into a rude awakening, the alarm continued to buzz loudly in my ear.
The participial phrase is annoying me into a rude awakening, and the infinitive phrase is to buzz loudly in my ear.
The participial phrase is annoying me into a rude awakening, and the infinitive phrase is to buzz loudly in my ear.