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This lecture explores the relationships between thermodynamic variables in oblique shock waves for perfect gases. It covers the conservation and constitutive equations for oblique shocks, the resolution procedure for finding angles, and the explicit relationships for angles. The instructor explains the conditions required for right and oblique shock waves in supersonic flow, emphasizing the importance of geometric determination. The lecture also delves into the deflection angles and diagrams associated with oblique shock waves, providing a comprehensive understanding of the topic.