
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 right isosceles triangle, each leg measures $a$ units, and the square of the hypotenuse is equal to twice the product of the leg lengths. Find the measure, in degrees, of one of the acute angles in the triangle.

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