Well let's instead of focusing option, prove the either options are correct!
[tex] \\ \\ [/tex]
Option I.
[tex] \sf \angle1 \cong \angle14[/tex]
This option is clearly correct as it is equal by property exterior opposite angle.
[tex] \\ [/tex]
Option II.
[tex] \\ [/tex]
[tex] \angle5 + \angle13 = 180 \degree[/tex]
So as we can see they are corresponding angles, corresponding angles can add up to 180. But it isn't necessary.
So it isn't correct.
Required Answer:-
Option A.
I. only