  We define the notion of right $n$-angulated category, which generalizes the
notion of right triangulated category. Let $\mathcal{C}$ be an additive
category or $n$-angulated category and $\mathcal{X}$ a covariantly finite
subcategory, we show that under certain conditions the quotient
$\mathcal{C}/\mathcal{X}$ is a right $n$-angulated category. This result
generalizes some previous work.

Category Theory;Representation Theory