A geometry problem by Anoopam Mishra

Geometry Level pending

Let a+b+c=180a + b + c = 180 and cota+cotb+cotc=cotx\cot a + \cot b + \cot c = \cot x. Then
csc2a+csc2b+csc2c\csc^2 a + \csc^2 b + \csc^2 c is equal to

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