Answer:
Option D
68 degrees is the answer.
Step-by-step explanation:
In the picture there is a quadrilateral DEFG and a circle circumscribing the quadrilateral.
In other words, DEFG is a cyclic quadrilateral.
We know that in cyclic quadrilateral, opposite angles are supplementary.
Hence in the given quadrilateral, Angles D and F are supplementary and also the pair E and G are supplementary.
Angle G is x and we have to find x.
Sum of angles G and E = 180 degrees (since they are supplementary)
Angle E = 112 degrees (given)
Hence angle G = x = 180-112 = 68 degrees.
