
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 given diagram, determine the value of angle $x$. A triangle $ABC$ has angles $\angle ABC = 70^\circ$ and $\angle ACB = 50^\circ$. On extending side $BC$, point $D$ is on the extended line such that $\angle BCD = 45^\circ$. Find $x^\circ$ if $x$ is the interior angle of $ABC$ opposite to side $AC$.

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