Answer:
The value of mEFD = 214°
Step-by-step explanation:
Given that the measure of the degree of one of the central angles of an inner circle is 146°.
We know that sum of all central angles is 360°.
In other words, in our case
mEFD + 146° = 360°
Thus, we can determine the mEFD using the equation
mEFD + 146° = 360°
so subtracting 146° to both sides
mEFD + 146° - 146° = 360° - 146°
mEFD = 214°
Therefore, the value of mEFD = 214°