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In this paper, the design and calculation of planetary transmission with bevel gears for road vehicles is presented. It must transfer power to the wheels with the possibility that wheels can rotate at different speeds. The basic calculation of transmission is performed for the drive machine, where an internal combustion engine is chosen, and for the driven machine, which is a car, all forces of resistance are calculated so that the transmission needs to be overcome to move the car. Based on the standard ISO 23509:2016 norm, the calculation of geometry is performed for the input gear pair and it is defined as a hypoid gear pair. For the planetary transmission, a calculation of gear module for bevel gears is first performed, and after that, the geometry is calculated. The calculation of the stress for root stress and Hertz contact pressure is performed for all bevel gears in transmission. [ABSTRACT FROM AUTHOR]