
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
Given a trapezoid $ABCD$, where $ABCD$ is not necessarily isosceles or right, with bases $AB = 40$ units and $CD = 60$ units. The non-parallel sides $BC = 50$ units and $DA = 70$ units meet at angle $\theta = 60^\circ$ at $D$, calculate the perimeter of trapezoid $ABCD$.

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