This work has broad applications in areas such as materials engineering, particularly in the manufacturing of polymers, textile fibers, and nanocomposites, thus, inspired the study to examine a continuous two‐dimensional flow of micropolar fluid steadily fluctuated in an oblique impinging on a stretched surface theoretically and computationally. In addition, heat radiation and chemical reactions are taken into account in this work. The flow is composed of a uniform shear flow parallel to the sheet surface and a stagnation‐point flow. Assuming a linear variation in surface temperature, the sheet is extending at a velocity proportionate to the distance from the stagnation point. In terms of partial differential equations, the boundary‐layer regime under discussion is modeled. The nondimensional ordinary differential equations were developed using appropriate similarity variables via a similarity transformation approach. The most effective and powerful too of the numerical approach, known as the pseudospectral collocation technique, is used to solve the micropolar flow model problem. The velocity, angular velocity, temperature, and concentration profiles are portrayed through graphs. Moreover, the impression of the input values on the wall drag coefficient, thermal, and solutal transfer rate are computed in a table. A table is used to compare the numerical findings with the results found in the literature to verify the correctness of the results. It is noted that there is great agreement between the found answer and the earlier investigations. Graphs are used to show the impacts of the relevant factors in the problem, which include the magnetic parameter, the impinging angle heat transfer characteristics, the Prandtl number, the Lewis number, Brownian motion, and the thermophoresis parameter.