
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
In triangle $PQR$, points $S$ and $T$ are inside the triangle such that $ST$ is not a straight segment. Let $a, b, c, d$ be the measures of angles at $S$ enclosed by segments connecting with the triangle's vertices and themselves, and let $e$ be the reflex angle at $T$ on one side of segment $ST$. Solve for $a$ in terms of $b, c, d, e$.
**A)** $360^\circ - e - b - c$  
**B)** $180^\circ - e - b - c$  
**C)** $e - b - c$  
**D)** $360^\circ + e - b - c$  
**E)** $e + b + c$

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