
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  $ABC$  be an isosceles right-angled triangle, having the right angle at vertex  $C$ . Let us consider the line through  $C$  which is parallel to  $AB$  and let  $D$  be a point on this line such that  $AB = BD$  and  $D$  is closer to  $B$  than to  $A$ . Find the angle  $\angle CBD$ .

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