Answer:
C. [tex]\widehat{GFE}=300^{\circ}[/tex]
Step-by-step explanation:
We have been given an image of a circle. We are asked to find the measure of major arc EFG for our given circle.
First of all, we will find measure of arc GE.
We know that the measure of central arc is equal to its subtended arc. The measure of arc GS will be equal to measure of central angle GOE.
Since measure of central angle GOE is 60 degree, so measure of arc GE is 60 degrees as well.
We know that the circumference of circle is equal to 360 degrees. So we can set an equation as:
[tex]\widehat{GE}+\widehat{GFE}=360^{\circ}[/tex]
[tex]60^{\circ}+\widehat{GFE}=360^{\circ}[/tex]
[tex]60^{\circ}-60^{\circ}+\widehat{GFE}=360^{\circ}-60^{\circ}[/tex]
[tex]\widehat{GFE}=300^{\circ}[/tex]
Therefore, the measure of arc GFE is 300 degrees and option C is the correct choice.
