
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 that in the Cartesian coordinate system, the parametric equation of line $l$ is $ \begin{cases} x=1+t\cos α \\ y=t\sin α \end{cases} (t \text{ is the parameter}). $ In the polar coordinate system with the origin as the pole and the positive half of the $x$-axis as the polar axis, the equation of curve $C$ is $ρ=4\cos θ$.
(1) Convert the polar coordinate equation of curve $C$ into 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 $α$ of line $l$.

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