
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 constructed on the base \(AD\) of the trapezoid \(ABCD\) as the diameter passes through the midpoints of the lateral sides \(AB\) and \(CD\) of the trapezoid and is tangent to the base \(BC\). Find the angles of the trapezoid.

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