The STAR collaboration presents measurements of semi-inclusive distributions of charged jets recoiling from high transverse energy ($E_{\text{T}}$) direct photon and $\pi^{0}$ triggers in $p$+$p$ and central Au+Au collisions at $\sqrt{s_{\text{NN}}} = 200$ GeV. Jets are reconstructed from charged particles using the anti-$k_{\text{T}}$ algorithm with jet resolution parameters $R = 0.2$ and 0.5. The large uncorrelated background in central Au+Au collisions is corrected using a mixed-event technique. This enables a jet measurement extending to low transverse momentum and large $R$ with well-controlled systematic uncertainties. We present measurements of the jet $R$ dependence of suppression, intra-jet broadening, and acoplanarity of $\pi^{0}$+jet and $\gamma_{\text{dir}}$+jet for trigger $E_{\text{T}}$ between $9 - 20$ GeV.