
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 a certain diagram not shown, there is a polygon consisting of a triangle and trapezoid. The triangle has angles of $50^\circ$ and $40^\circ$. There is an external angle at one vertex of the triangle extending into the trapezoid, labeled as $45^\circ$. Find the value of $x^\circ$, the angle between the side of the triangle and the adjacent side of the trapezoid.

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