
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 triangle $XYZ$ is inscribed in a circle with center $O$, and $\angle XYZ = 70^\circ$ and $\angle YXZ = 80^\circ$. Find $\angle XOZ$, where $O$ is the point where the external bisector of $\angle XYZ$ intersects the circle.

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