Final answer:
The figurative language used in the quote is metaphor, comparing a schoolboy to a masker and reveler.
Step-by-step explanation:
The figurative language used in the quote "A peevish schoolboy, worthless of such honor, joined with a masker and a reveler" is metaphor. A metaphor is a figure of speech that directly compares two unlike things without using "like" or "as". In this quote, the schoolboy is being compared to a masker and a reveler, implying that the schoolboy is behaving in a similar way as the masker and reveler.