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

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