Credit to Greece
In triangle ABC, let J be the centre of the excircle tangent to side BC at A₁ and to the extensions of sides AC and AB at B₁ and C₁, respectively. Suppose that the lines A₁B₁ and AB are perpendicular and intersect at D. Let E be the foot of the perpendicular from C₁ to line DJ. Determine the sum of angles ∠BEA₁ and ∠AEB₁ in degrees
The answer is 180.
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