What is the measure of angle x?

Answer:
x = 79
Step-by-step explanation:
The triangle BDH has angles that sum to 180 degrees
We will call the top angle in that triangle angle y
46+ 33+y = 180
79 + y = 180
Subtracting 79 from each side
79-79+y = 180-79
y=101
Angle y and angle x form a straight line so they sum to 180 degrees
y+x = 180
101+ x = 180
Subtract 101 from each side
x = 180-101
x = 79
Answer:
79°
Step-by-step explanation:
In triangle HBD,
x is the exterior angle at H
Exterior angle = sum of interior angles
x = 46 + 33 = 79