Answer:To find the value of x, we can use the property of opposite angles in a parallelogram. In a parallelogram, opposite angles are congruent.
Given that mF = x + 20° and mi = 4x - 10, we can set these two expressions equal to each other:
x + 20° = 4x - 10
Now, let's solve for x:
x - 4x = -10 - 20°
-3x = -30°
Divide both sides by -3:
x = -30° / -3
x = 10°
Therefore, the value of x is 10°.
Explanation: