The correct answer is C. Annoying me into a rude awakening, the alarm continued to buzz loudly in my ear.
Explanation:
In grammar a participial phrase refers to a phrase that begins with a word that ends in -ing or -ed but does not act as a verb but as a noun, along with other words that complete the meaning of the participle, for example, the phrase "swimming is good for your health" is a participle phrase in which "swimming" is the participle and the rest of the words define it. On the other hand, an infinitive phrase begins with an infinite which is composed by the preposition "to" followed by a verb and as in the case of participle phrase other words are included to define the infinitive, for example, the phrase "to climb the Everest was her goal" the infinitive is "to climb" and other words explain the infinitive.
Considering the previous ideas, the sentences that uses both a participle and an infinitive phrase is "Annoying me into a rude awakening, the alarm continued to buzz loudly in my ear", because in this sentence "Annoying me into a rude awakening" is the participle phrase composed by the participle "annoying" and other words that define it and the infinitive phrase "to buzz loudly in my ear" with the infinitive "to buzz" and other words that define it.
