Since BD bisects angle ABC,
∠ ABD = ∠ DBC
So, ∠ DBC = 2x + 22 (1)
Also, ∠ DBC = ∠ ABC - ∠ ABD.
= 8x - (2x + 22)
= 8x - 2x - 22
= 6x - 22 (2)
From (1) and (2),
2x + 22 = 6x - 22
2x - 6x = -22 - 22
- 4x = - 44
x = 11
∠ DBC = 2x + 22 = 2(11) + 22 = 44
Hence, ∠ DBC = 44°.
