Which rule explains why these triangles are congruent?

Answer:
AAS
Step-by-step explanation:
[tex] In\: \triangle CFG \:\&\:\triangle GHC[/tex]
[tex] \angle CFG \cong \angle CHG[/tex] (Given)
[tex] \angle FCG \cong \angle HGC[/tex] (Given)
[tex] \overline {CG} \cong \overline {GC} [/tex] (Common side)
[tex] \therefore \triangle CFH\cong\triangle GHC[/tex]
(By AAS POSTULATE)