2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107395We prove several identities relating three-variable Mahler measures to integrals of inverse trigonometric functions. After deriving closed forms for most of these integrals, we obtain ten explicit formulas for three-variable Mahler measures. Several of these results generalize formulas due to Condon and Lalín. As a corollary, we also obtain three $q$-series expansions for the dilogarithm.Number Theorytext