
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 the polar coordinate equation of curve C is $ρ - 2\sin θ = 0$, establish a rectangular coordinate system with the pole as the origin and the polar axis as the positive half of the x-axis. Line l passes through point M(1,0) with a slope angle of $\frac{2π}{3}$.
(1) Find the rectangular coordinate equation of curve C and the parametric equation of line l.
(2) Suppose line l intersects curve C at points A and B. Find the value of $|MA| + |MB|$.

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