[en] High precision data of lepton angular distributions in inclusive Z boson production, reported by the CMS and ATLAS Collaborations, showed pronounced transverse momentum (qT) dependencies of the A₀ and A₂ coefficients. Violation of the Lam-Tung relation, A₀=A₂, was also found. An intuitive understanding of these results can be obtained from a geometric approach. We predict that A₀ and A₂ for Z plus single gluon-jet events are very different from that of Z plus single quark-jet events, allowing a new experimental tool for checking various algorithms which attempt to discriminate quark jets from gluon jets. We also predict that the Lam-Tung relation would be more severely violated for the Z plus multiple-jet data that what has been observed so far for inclusive Z production data. These predictions can be readily tested using existing LHC data.