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The gate implementation of JK Flip Flop is

And the Truth Tables obtained for JK Flip Flop is

From this we obtain Next State Q (t+1) = J Q' + k' Q

Now from the given Question, we see that the Input of both J & K = X hence substitute X in place of both J &  K and Q1 in place of Q.
You'll find your answer


 

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it is basically T-flip-flop(j=k=T) so output will be 

                Q                                            T                                       Q(t+1)

0 0 0
0 1 1
1 0 1
1 1 0

      

Q1(t+1)=TQ1'+T'Q1=XQ1'+X'Q1

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