Answer:
x = 44°
Explanation:
in the given parallelogram given angles are ∠D = (3x+6)° and ∠A = 42°
By the properties of a parallelogram we know
∠C = ∠A (Opposite angles)
And ∠A + ∠D = 180° (consecutive angles are supplementary)
Therefore 3x + 6 + 42 = 180
3x + 48 = 180
3x = 180 - 48 = 132
x = 132/3 = 44°
Therefore x = 44° is the answer.