
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
Determine the angles $\alpha$ and $\beta$.

![Angle Diagram](https://cdn.mathpix.com/cropped/2024_05_01_eead07372ad548e635bag-10.jpg?height=504&width=569&top_left_y=1605&top_left_x=694)

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