Question

0 62. If any two sides of a triangle are
produced beyond its base and the exterior
angles this obtained are bisected, then
these bisectors will include an angle equal to​

Answer 1

Answer:

Each exterior angle bisector is perpendicular to the interior bisector of the same angle. Taking the four bisectors together, two interior and two exterior, a cyclic quadrilateral is formed. The angle of the exterior bisectors must then be the supplement of the angle formed by the interior bisectors. And that in turn is the supplement of half the sum of the interior angles that were bisected.

The angle formed by the two exterior angle bisectors is equal to half the sum of the interior angles that were bisected. This possibly aligns with the first choice in your list, but the meaning of the question is still in doubt.