If m∠ABC is 160°, and m∠ABD is 92°, what is the angle measure of DBC? ∠ABD and ∠DBC are adjacent angles inside ∠ABC

Since ∠ABD and ∠DBC are adjacent angles inside ∠ABC, we can find ∠DBC by subtracting ∠ABD from ∠ABC.

∠ABC - ∠ABD = ∠DBC
160° - 92° = ∠DBC
68° = ∠DBC

Therefore, the angle measure of DBC is 68°.