Question

Help with problem in photo

Answer 1

250 degrees

Explanation:

For any circle tangent to line FG at point F, as shown in the diagram, and for any point E on the circle, the relationship between the measure of angle GFE and the arclength of FE is given by
`m~\text{arc}~FE=2m \angle GFE`.

So, the measure of the arc FE is 110 degrees. Since a circle is fully 360degrees, the missing arc represented by the question mark is given by the following equation:

? + 110 = 360

Solving for the ?

? = 250 degrees

Answer 2

Check the picture below.