
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 $\angle A + \angle B = 180^\circ$ and $\angle C = \angle D + 10^\circ,$ find $\angle D.$ In the diagram, $\angle A = 50^\circ$ and $\angle B$ forms a line with another triangle having angles $\angle C$ and $\angle D.$
[diagram is omitted for textual problem construction]

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