Answer:
Option B (44 degrees).
Step-by-step explanation:
In a parallelogram, there are two pairs of equal and parallel lines. Therefore, by the properties of the parallel lines, the opposite angles are also equal. The sum of angles of a parallelogram is 360 degrees. It is given that one angle is (4x + 16) degrees and the other angle is (2x - 16) degrees. Since opposite angles are same, therefore:
4x + 16 + 2x - 16 + 4x + 16 + 2x - 16 = 360
Simplifying gives:
12x = 360.
x = 30.
Since H = (2x-16) degrees, substituting x = 30 degrees in H gives:
H = 2(30) - 16 = 60 - 16 = 44 degrees.
Therefore, Option B is the correct choice!!!
