In triangle ABC, angle A = 96°. Extend BC to an arbitrary point D.The angle bisectors of angle angle ABC and angle ACD intersect at A₁, and the angle bisectors of angleA₁BC and angle A₁CD intersect at A₂ and so on. The angle bisectors of is angle A₄BC and angle A₄CD intersect at A₅. Find the size of angle A₅ in degrees.