If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent by ASA property.
In the given figure one angle and one side of both the triangles are given.
<F≅<H and FG≅IH.
The equal sides should be between the equal angles to have the triangles congruent by ASA .
< G ≅ <I will make the triangles congruent by ASA property.
Option D) <G≅ <I is the right option.