I really need help on this question! Thank you!

Answer:
A
Step-by-step explanation:
We know the following:
[tex]OE=5\\\\FG=4\\\\EF=8\\\\[/tex]
so the segment EF is equal to
[tex]EF=EG+GO+OF\\\\[/tex]
and here we can do a trick :)
[tex]EF=(EG+GO)+GO+(OF+OG)-2GO\\\\[/tex]
you see it's the same
[tex]EF=EO-GO+FG\\\\[/tex]
now we plug the values given
[tex]8=5-GO+4\\\\8=9-GO\\\\GO=9-8\\\\GO=1[/tex]
so it's option A