
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In the Cartesian coordinate system on a plane, establish a polar coordinate system with the origin as the pole and the positive half of the $x$-axis as the polar axis. Use the same unit length in both coordinate systems. Given that the polar equation of curve $C$ is $ρ = 2 \cos θ$, and the parametric equations of line $l$ are $ \begin{cases} x = -1 + t \cos α \\ y = t \sin α \end{cases} $ (where $t$ is the parameter and $α$ is the inclination angle of the line),
(I) Write the Cartesian equation of line $l$ and the rectangular coordinate equation of curve $C$;
(II) If line $l$ and curve $C$ have a unique common point, find the value of angle $α$.

Present the answer in LaTex format: \boxed{Your answer}
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