Summary: We obtain the equivariant \(K\)-homology of the classifying space \(\underline EW\) for \(W\), a right-angled or, more generally, an even Coxeter group. The key result is a formula for the relative Bredon homology of \(\underline EW\) in terms of Coxeter cells. Our calculations amount to the \(K\)-theory of the reduced \(C^*\)-algebra of \(W\), via the Baum-Connes assembly map.