
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
Let  $ABCD$  be a convex quadrilateral with  $\angle A=60^o$ . Let  $E$  and  $Z$  be the symmetric points of  $A$  wrt  $BC$  and  $CD$  respectively. If the points  $B,D,E$  and  $Z$  are collinear, then calculate the angle  $\angle BCD$ .

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