
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 a convex quadrilateral \(ABCD\), the segment connecting the midpoints of the diagonals is equal to the segment connecting the midpoints of the sides \(AD\) and \(BC\). Find the angle formed by the extensions of the sides \(AB\) and \(CD\).

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