## Task 2 - 090722

We want to call a corner of a triangle "distinguished" if the interior and exterior angles at this corner are equal to each other.

Determine the maximum possible number of "distinguished" corners that can occur in a triangle!
Since the sum of an interior angle and its corresponding exterior angle is $180^{\circ}$, a vertex is "distinguished" if and only if the interior angle at that vertex is $90^{\circ}$.

There are triangles with exactly one right interior angle, but there are no triangles with more than one such angle. Therefore, the only and thus the largest possible number is 1.