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Geometry Level 3

In a non-isosceles triangle Δ A B C \Delta ABC we have B A C = 6 0 ∠BAC = 60^\circ . Let D D be the intersection of the angular bisector of B A C ∠BAC with side B C , O BC, O the centre of the circumcircle of Δ A B C \Delta ABC and E E the intersection of A O AO and B C . BC. Find A E D + A D O ∠AED + ∠ADO in degrees .

Note : Construct the Traingle such that all points lie within the CircumCircle.


The answer is 90.

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