The angular momentum is conserved in the conditions.
• A student initially stands on a circular platform and that is free to rotate without friction about its center. The student jumps off tangentially, setting the platform spinning the angular momentum will be conserved because both the angular momentum and linear momentum are vectors, the direction must be considered. As in the given question, the direction of the linear momentum is constantly changing as the circular platform is rotating, and the direction of the angular momentum is always the same.
• That's why the linear momentum changes but the angular momentum does not.
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