
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
For the angles $\alpha, \beta, \gamma$ of a triangle, the following equation holds:

$$
\sin \alpha + \sin \beta = (\cos \alpha + \cos \beta) \sin \gamma
$$

What is the measure of the angle $\gamma$?

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