# Trisected Area 2

Geometry Level 4

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

Bonus: Generalize this for $$n$$-section, where $$n \geq 2$$.

Inspiration

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