Photoproduction mechanisms studied in the GlueX experiment allows the mapping of light mesons in unprecedented detail with particular interest in exotic meson candidates. This is achieved by impinging an 8.2-8.8 GeV linearly polarized photon beam on a liquid hydrogen target. The measurement of beam asymmetry will help constrain quasi-particle t-channel exchange processes using Regge theory. Understanding the photoproduction exchange mechanisms is a crucial ingredient in establishing hybrid and exotic photoproduced light meson states. Sigma is extracted from the azimuthal angular distribution between the meson production plane and the polarized photon beam. In particular, we will report results on the beam asymmetry measurements for eta in the reaction gamma p -> eta Delta+. This reaction with a recoiling Delta+ will allow for comparison and validation of theoretical calculations and provide additional validation of the eta asymmetry with a recoiling proton. The results were similar to eta proton i.e Sigma \approx 1 but showed a deviation from theoretical models of the eta Delta+ especially towards higher t values. This may help guide modifications to these models for production and exchange processes involving eta meson.