Answer:
71 degrees
Step-by-step explanation:
Hi there!
- Find ∠DBH (using the sum of interior angles in a triangle)
- Find ∠x (180-∠DHB)
Triangle DBH
The sum of all the interior angles in a triangle is equal to 180 degrees. Knowing this, we can solve for ∠DHB by subtracting 31 and 40 from 180:
180-31-40 = 109
Therefore, ∠DHB is 109 degrees.
Angle x
Because ∠x and ∠DHB make a straight angle, to find ∠x, we just have to subtract 109 from 180:
180-109 = 71
Therefore, x is 71 degrees.
I hope this helps!
