Respuesta :

Answer:

The measure of minor arc GFC is [tex]130\°[/tex]

Step-by-step explanation:

we know that

In a circle the sum of the major arc plus the minor arc is equal to 360 degrees

see the attached figure to better understand the problem

Let

x------> the major arc GEC

y-----> the minor arc GFC

so

[tex]x+y=360\°[/tex]

we have

[tex]x=230\°[/tex]

substitute in the equation and solve for y

[tex]230\°+y=360\°[/tex]

[tex]y=360\°-230\°=130\°[/tex]

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