
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 right focus F of the ellipse C: $$\frac {x^{2}}{2}$$+y<sup>2</sup>\=1, the line l passing through F intersects C at points A and B. The coordinates of point M are (2, 0).
(1) Find the equation of line AM when l is perpendicular to the x-axis.
(2) Let O be the origin. When l is not parallel to the x-axis, find the value of $$\frac {∠OMA}{\angle OMB}$$.

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