
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
The angles \(A, B, C\) of triangle \(ABC\) are \(44^\circ, 66^\circ,\) and \(70^\circ\) respectively. The angle bisector of \(\angle ABC\) and the perpendicular bisector of side \(AC\) intersect at point \(D\). How many degrees is \(\angle ADC\)? (Write the answer without the degree symbol.)

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