Answer:
[tex]\angle BIJ\cong \angle BFD[/tex]
Step-by-step explanation:
Since, In triangles BIJ and BDF,
[tex]\angle IBJ\cong \angle FBD[/tex] (Reflexive angles)
If [tex] \angle BIJ \cong \angle BFD [/tex] is given.
Then by AA similarity postulate,
[tex] \triangle BIJ\sim\triangle BFD[/tex]
But, [tex] \angle BGH\cong \angle BJI[/tex] is given
We can not conclude that Triangles BIJ and BFD are similar.
Thus, First Option is correct.
