Interesting angle

Level pending

In an acute angle A B C \triangle ABC the bisectors of B \angle B and C \angle C meet at I I . A I AI produced meet the circumcircle of I B C \triangle IBC at J J . J C JC and B I BI produced meet at D D .If A = 5 2 \angle A=52^{\circ} ,then find B D J \angle BDJ .


The answer is 26.

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