Final answer:
The word that begins with an open syllable is 'paper'.
Step-by-step explanation:
The word that begins with an open syllable is paper.
Open syllables are syllables that end with a vowel sound and do not have a consonant sound following it. In the word paper, the first syllable 'pa' ends with an 'a' vowel sound and does not have a consonant following it, making it an open syllable.