
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 centre of the circle passing through the midpoints of the sides of am isosceles triangle  $ABC$  lies on the circumcircle of triangle  $ABC$ . If the larger angle of triangle  $ABC$  is  $\alpha^{\circ}$  and the smaller one  $\beta^{\circ}$  then what is the value of  $\alpha-\beta$ ?

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