How Euler angles change when we reverse direction of some axes

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I looked at the other questions but couldn't find an answer for this particular question: I have measured Euler angles of an object in one coordinate system and I need to use these data in another coordinate system that is slightly different from the first coordinates system. In the second coordinate system, the x- and y-axes have a direction opposite to the x- and y-axes used in the measurement coordinates. The z-axis remains identical for both cases. My question is upon the transfer from one coordinate system to the other, how Euler angles change?