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Answer:

63 degrees.

Step-by-step explanation:

TRaingle ABC is isosceles so the base angles are equal That is < BAC = < BCA.

<BAC = 180 - 117 = 63 degrees ( because it  is adjacent to <x which is 63 degrees).

So < BCA = <BAC = 63 degrees.

Finally y = 63 degrees ( vertical angles are equal).