Question

What is the measure of angle x?

Answer 1

79°

Explanation:

In triangle HBD,

x is the exterior angle at H

Exterior angle = sum of interior angles

x = 46 + 33 = 79

Answer 2

x = 79

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