If 4 θ is an acute angle, and cot 4 θ = tan(θ - 5^°) is an acute angl…

If $4 \theta$ is an acute angle, and $\cot 4 \theta = \tan(\theta - 5^\circ)$ is an acute angle, and $\cot 46 = \tan(6 - 5^\circ)$, then what is the value of $\theta$?