
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
A circle with a radius of 5 is inscribed in an angle. A chord connecting the points of tangency is 8. Two tangents are drawn to the circle, parallel to the chord. Find the sides of the resulting trapezoid.

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