Competition problem — Geometry — Maths Olympiad Prep

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Geometry Difficulty 6.7 National olympiad Find the answer

The feet of the angle bisectors of $\Delta ABC$ form a right-angled triangle. If the right-angle is at $X$ , where $AX$ is the bisector of $\angle A$ , find all possible values for $\angle A$ .

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

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