We describe an attempt at the quantitative evaluation by Brewster-angle microscopy of the molecular tilt azimuth in domains of two condensed phases of Langmuir monolayers of methyl eicosanoate. The domains, which are surrounded by the isotropic Liquid-expanded phase, contain star defects in which there is an ordering of the tilt azimuth into six pie-shaped regions. The presence of this high symmetry allows the orientation to be determined. In one phase the molecules are tilted toward the domain boundary (splay texture) and in the other tilt is parallel to the boundary (bend texture). The relation between the change in texture and recent diffraction studies on esters is examined.