Trollathon #1.5 : A Geometry

Geometry Level 4

Let ABC be a triangle. Let I be the incenter of ABC. Let D, E, F be the foot of altitudes from C to AB, B to AC and A to BC respectively. Let the circumcenter of ADE be O. Let \(\angle BAI = 6^{\circ}\). Let Q be the circumcenter of ABC. Find \(\angle BQC\).

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