
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
Given the curve C with the polar coordinate equation $ρ = 4 \cos θ$, establish a rectangular coordinate system with the pole as the origin and the positive half of the polar axis as the x-axis. The parameter equation of line l is given by $x = 1 + t \cos α, y = t \sin α$ (t is the parameter).

(1) Convert the polar coordinate equation of curve C to a rectangular coordinate equation.
(2) If line l intersects curve C at points A and B, and $|AB| = \sqrt{14}$, find the value of the slope angle $α$.

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