We studied the in-plane angular magnetoresistance (AMR), in the normal state, of underdoped superconducting ${\mathrm{Sr}}_{1--x}{\mathrm{La}}_{x}\mathrm{Cu}{\mathrm{O}}_{2}$, which has the simplest crystal structure among cuprates. The measurements of two underdoped thin films with different dopings were performed in intense magnetic field $H$ (up to 22 T). The longitudinal magnetoresistance at temperature $T$ is negative and scales with $H/T$. For both samples, the AMR is anisotropic and shows an unexpected dependence on $H$ intensity. While at the low magnetic field, one observes essentially twofold AMR oscillations for the more doped sample, fourfold ones start to grow under the high magnetic field, resulting in the coexistence of the two. For the less doped film at the low magnetic field, both twofold and fourfold AMR components exist. With the increase of the magnetic field, the fourfold component survives a \ensuremath{\pi}/4 phase shift, during which its amplitude vanishes, at a magnetic field ${H}_{c}$ such as $16\phantom{\rule{0.16em}{0ex}}\mathrm{T}\phantom{\rule{0.16em}{0ex}}<{H}_{c}<17\phantom{\rule{0.16em}{0ex}}\mathrm{T}$. As a result, at the high magnetic field above ${H}_{c}$, the angular dependence of the in-plane magnetoresistance turns out to be the same for both samples. We tentatively ascribe the above features to the presence of antiferromagnetism in the ${\mathrm{CuO}}_{2}$ planes of underdoped ${\mathrm{Sr}}_{1--x}{\mathrm{La}}_{x}\mathrm{Cu}{\mathrm{O}}_{2}$.