
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 acute triangle \(KLM\), \(V\) is the intersection of its heights, and \(X\) is the foot of the height onto side \(KL\). The angle bisector of angle \(XVL\) is parallel to side \(LM\), and the angle \(MKL\) measures \(70^\circ\).

What are the measures of the angles \(KLM\) and \(KML\)?

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