Final answer:
The measure of angle G in parallelogram EFHG must be less than 180 degrees. Since a parallelogram's consecutive angles are supplementary, and no additional information indicates it is a special type like a rectangle, we can conclude the measure of angle G is option b) 180 degrees.
Step-by-step explanation:
You asked what the measure of angle G in a parallelogram EFHG would be. A parallelogram has opposite angles that are equal and consecutive angles that are supplementary. This means that the sum of the measures of consecutive angles is 180 degrees. Since a parallelogram cannot have angles with measures more than 180 degrees because they are flat shapes with angles that add up to 360 degrees in total, the options c) 270 degrees and d) 360 degrees can be eliminated.
Moreover, a parallelogram typically does not have right angles unless it is a special type called a rectangle. However, since no additional information was provided to assume that EFHG is a rectangle, we cannot confirm that angle G is 90 degrees. Therefore, the measure of angle G cannot be a) 90 degrees by default. We know that any angle in a parallelogram must be less than 180 degrees as it is the measure of a flat angle, and since option b) is the only one left that is less than 180 degrees, it must be the correct answer.