
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
Let $\alpha$ and $\beta$ be two interior angles of a triangle, and let $\tan \alpha$ and $\tan \beta$ be the two real roots of the equation $x^{2}+p(x+1)+1=0$. Find the measure of the obtuse angle of this triangle.

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