  We report measurements of the angular scale of cosmic homogeneity
($\theta_{H}$) using the recently released luminous red galaxy sample of the
sixteenth data release of the Sloan Digital Sky Survey (SDSS-IV LRG DR16). It
consists of a model-independent method, as we only use the celestial
coordinates of these objects to carry out such an analysis. The observational
data is divided into thin redshift bins, namely $0.67<z<0.68$, $0.70<z<0.71$,
and $0.73<z<0.74$, in order to avoid projection biases, and we estimate our
uncertainties through a bootstrap method and a suite of mock catalogues. We
find that the LRGs exhibit an angular scale of homogeneity consistent with the
predictions of the standard cosmology within the redshift interval studied.
Considering the bootstrap method, in which the measurements are obtained in a
model-independent way, we found at 1$\sigma$ level that $\theta_H^{boot}(0.675)
= 7.57 \pm 2.91$ deg, $\theta_H^{boot} (0.705) = 7.49 \pm 2.63$ deg and
$\theta_H^{boot} (0.735) = 8.88 \pm 2.81$ deg. Such results are in good
agreement with the ones obtained using mock catalogues built under the
assumption of the standard cosmological model.
