Answer:
Option D: mGE = 190°
Step-by-step explanation:
From the property of angles of secant and tangent lines, we have:
DBG = (mGE - mDG)/2
(That is, the angle in point B is half the difference of the larger arc by the smaller arc defined by the lines)
So, we have that:
58 = (mGE - 74)/2
2*58 = mGE - 74
mGE = 116 + 74 = 190°
So we have that mGE is equal to 190°, correct option: D.
