Question

Angle G is a circumscribed angle of circle E.

Answer 1

x°+x° i just took the test and this was the right one

Answer 2

Check picture below

notice, the angle E is a central angle, and is creating the arc FD
arcs get their angle measures by the central angle they're in
so the measure of arcFD is the same as the central angle's E

notice the "near arc" of FD in red, and the blue "far arc"

thus

by the "far arc, near arc" theorem   we can say   $\bf \measuredangle G = \cfrac{\textit{far arc}- \textit{near arc}}{2}\qquad \begin{cases} \textit{near arc}=FD=180-2x\\\\ \textit{far arc}=360-FD=360-(180-2x)\\ \qquad\qquad 180+2x \end{cases}$

plug that in