Answer:
x = 77°
Explanation:
When an angle has its vertex on a circle, the arc that gets cut by sides is double the angle.
So arcDF is double angleEFD.
angleEFD = 74°
arcDF = 148°
arcFH is double angleD.
angleD = 29°
arcFH = 58°
All the arcs of the circle all add up to 360°
arcDF + arcFH + arcDH = 360°
148° + 58° + arcDH = 360°
206 + arcDH = 360°
subtract 206
arcDH = 154°
Again, the arc is double the angle, or the angle is half the arc.
arcDH = 154°
angleDFH = 77°
x = 77°
see image.