
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 pentagon $ABCDE$, interior angles $\angle A = 70^\circ$ and $\angle B = 90^\circ$. Angles $\angle C$ and $\angle D$ are equal. The fifth angle $\angle E$ is $3x-10^\circ$ where $x$ is the measure of angles $C$ and $D$. Find the measure of the largest angle.

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