  In this paper, we consider $n$-perforated Yoneda algebras for $n$-angulated
categories, and show that, under some conditions, $n$-angles induce derived
equivalences between the quotient algebras of $n$-perforated Yoneda algebras.
This result generalizes some results of Hu, K\"{o}nig and Xi. And it also
establishes a connection between higher cluster theory and derived
equivalences. Namely, in a cluster tilting subcategory of a triangulated
category, an Auslander-Reiten $n$-angle implies a derived equivalence between
two quotient algebras. This result can be compared with the fact that an
Auslander-Reiten sequence suggests a derived equivalence between two algebras
which was proved by Hu and Xi.
