Final answer:
The measure of angle G in parallelogram DEFG, where angle F is 106°, is 74°, since consecutive angles in a parallelogram are supplementary. Option b is correct.
Step-by-step explanation:
In parallelogram DEFG, if the measure of angle F is 106°, then the measure of angle G can be found considering the properties of parallelograms.
In any parallelogram, opposite angles are equal.
Hence, angle D is also 106°. Since consecutive angles in a parallelogram are supplementary, we can find the measure of angle G by subtracting angle D from 180°:
180° - 106° = 74°
Therefore, the measure of angle G is 74°, which corresponds to option b).