Answer : x= 58
To find angle x , we apply outside angle theorem
Lets name each point
Measurement of arc EF=114 degrees
Measurement of arc GH = x
Angle D = 28 degrees
Theorem says
[tex]angle D = \frac{arc(EF)-arc(GH)}{2}[/tex]
Now we plug in the values
[tex]28 = \frac{114-x}{2}[/tex]
multiply by 2 on both sides
28*2 = 114 -x (subtract 114 on both sides)
56 - 114 = -x
-58 = -x
So x= 58
