Answer: B. [tex]\angle{C}=\angle{F}[/tex]
Step-by-step explanation:
- The AAS theorem says that if two angles and any side of a triangle are equal to two angles and any side of another triangle then the triangles are congruent.
In the given picture, we have two triangles having one side and one angle equal .
To prove the given triangles congruent by AAS theorem we need one more pair of angles congruent .
We can take option A.
[tex]\angle{A}=\angle{D}[/tex] but then the triangles wuill become conruent by ASA postulate not AAS.
Therefore, we need [tex]\angle{C}=\angle{F}[/tex] to prove the given triangles congruent by AAS theorem.
