The translational degrees of freedom $$(f_t)$$ and rotational degrees of freedom $$(f_r)$$ of $$CH_4$$ molecule are:

Methane CH4 is a non-linear polyatomic molecule (tetrahedral structure).

For any molecule:

Translational degrees of freedom are always

$$f_t=3$$

because it can move along x,y,z directions.

For rotational degrees of freedom:

$$f_r=2$$

$$f_r=3$$

Since $$\text{CH}_4$$ is non-linear,

$$f_r=3$$

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