Trisected Area 2

Geometry Level 4

Consider a right triangle with the two acute angles satisfying α+β=90\alpha^\circ + \beta^\circ = 90^{\circ}. How many different ways can we assign the positive values α\alpha and β\beta such that trisecting the right angle yields at least a pair of congruent triangles among the three small triangles ?

Bonus: Generalize this for nn-section, where n2n \geq 2.


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