
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
All vertices of the pentagon \(ABCDE\) lie on the same circle. If \(\angle DAC = 50^\circ\), determine \(\angle ABC + \angle AED\). 

![](https://cdn.mathpix.com/cropped/2024_05_01_10107d2fba0ec26bc845g-08.jpg?height=694&width=697&top_left_y=1823&top_left_x=585)

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