Answer: 146
Step-by-step explanation:
Let point G be the center of both circles. Angle EGF is shown to be 146 degrees. This is a central angle of the orange circle that subtends, or cuts off, minor arc EF. This is the shortest distance along the edge of the orange circle. The measure of the central angle is exactly equal to the measure of the arc. This is simply by definition. Minor arc EF is 146 degrees as it is a portion of the entire distance around the orange circle. The fractional portion is 146/360 = 73/180.