
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
Two mutually perpendicular rays, propagating in the same vertical plane, fall from the air onto a horizontal glass surface. The refractive index of the glass is $n=1.6$. The angle of refraction for the first ray is $\beta=30^{\circ}$. Determine the angle between the refracted rays.

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